Papua New Guinea is about 4.4 times bigger than Ohio.

Ohio is approximately 106,056 sq km, while Papua New Guinea is approximately 462,840 sq km, making Papua New Guinea 336% larger than Ohio. Meanwhile, the population of Ohio is ~11.5 million people (1.9 million fewer people live in Papua New Guinea).
Tip: This to-scale comparison of Ohio vs. Papua New Guinea uses the Mercator projection, which distorts the size of regions near the poles.