Finding the Fourth Proportional to 381,561,224,755.43, 526,554,493,121.84 and 210,283,158,175.53
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Solution
The fourth proportional to 381,561,224,755.43, 526,554,493,121.84 and 210,283,158,175.53 is: 290,190,759,913.16
Step by Step Solution
- Step 1: Write the proportion equation
381,561,224,755.43 : 526,554,493,121.84 = 210,283,158,175.53 : x - Step 2: Convert to fraction form
381,561,224,755.43/526,554,493,121.84 = 210,283,158,175.53/x - Step 3: Cross multiply
381,561,224,755.43x = 526,554,493,121.84 × 210,283,158,175.53 - Step 4: Simplify right side
381,561,224,755.43x = 110,725,541,765,175,914,266,624 - Step 5: Solve for x
x = 110,725,541,765,175,914,266,624/381,561,224,755.43 - Step 6: Final answer
x = 290,190,759,913.16
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.