Let's round the diameter of a grape up to about one inch (2.5 cm), just for simplicity's sake.
The diameter of the Earth is about 7917.5 miles (12,742 kilometers), which translates to 501,652,800 one-inch grapes. Give or take. That is to say that the Earth is currently 501,652,800 times bigger than a grape, so in order to make them the same size, we would need to scale down the Earth by 501,652,800 times.
We now assume that the same proportional shrinkage takes place in all of space, or at least our galaxy.
Doing this makes the solar system at least navigable. The Sun, which is now about the size of a Smart Car, is a little less than 1,000 feet (about 300 meters) away from our little grape. That’s a short little jog, or about the height of the Eiffel Tower. Be sure to stop to smell Venus on the way — it smells like rotten eggs!
Pluto is still over seven miles (over eleven km) away from the Sun, so we’ll need a vehicle if we aren’t in the mood to hike. Just to arrive at an icy pebble about 1/5 of an inch (1/2 of a centimeter) in diameter. You may (or may not) have noticed Jupiter looking like an overinflated basketball along the way. More likely you noticed Saturn and its spectacular rings, now just under two feet across.
But we’re not thinking big enough. Granted, the Milky Way is a relatively small galaxy, with a distance of "only" about 100,000 light-years across. Scaling that down by the same ratio, the galaxy would now be 0.0002 (1/5,000) light-years across.
To turn that into miles, we must consider that one light-year in reality is almost 5.9 trillion miles (9.5 trillion km). In our scale model, that same light-year is now a little more than 11,718 miles (18,859 km) -- a little greater than the distance from the United Kingdom to New Zealand.
So already we’ve outgrown our car. We’ll need a commercial plane and most of a day to travel a single light year. But if we want to get anywhere, the nearest star will require that we make that trip four times and then some, so we’ll need a high-speed jet with enough fuel to travel completely around the Earth (the real Earth) twice without refueling. (One commenter suggested a rocket, which is probably a better time-saver).
We’ve now made it to the Alpha Centauri system. Congratulations. That flight was probably miserable.
But we’re not even getting started. We’re trying to traverse the galaxy, after all, and we’ve only jumped from one star system to its nearest neighbor.
This scaled-down galaxy is now 1,171,826,372 miles (1,885,871,741 km) across. Essentially we’ve shrunk the Milky Way to fit inside our Solar System; the edges of the galaxy would be found somewhere between the orbits of Saturn and Uranus — still twenty-five thousand times further than humans have traveled thus far. If you want to get a feel for how long that trip would take, I recommend this map (which shows that even light itself would take more than an hour and a half to cover the distance):
If the Moon Were Only 1 Pixel
Even at over 500 million times smaller than actual size, our galaxy is still unfathomably massive.
Moral of the story: I hope you like your little grape. It’s almost definitely the only grape you’ll ever get. Do take care of it.
Note: the above calculations are completely linear. I only used diameter. If accounting for volume, the numbers would be different. For example, I had said that Earth is about 502 million times larger than a grape, but if measured by volume, Earth becomes more than one septillion times larger than the grape… (that’s a 1 with 24 zeroes). To make that useful we’d have to compare it to the volume of the galaxy, but I don’t know how to measure that (and I don’t think anyone else does either). Because I wanted to talk about travel times anyway I felt a linear measure was sufficient.