Barbados is about 3,445 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Barbados is approximately 430 sq km, making Barbados 0.03% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (407,557 fewer people live in Barbados).
Tip: This to-scale comparison of Alaska vs. Barbados uses the Mercator projection, which distorts the size of regions near the poles.