Finding the Fourth Proportional to 563,133,833,248.68, 777,139,418,356.74 and 306,231,755,694.12
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Solution
The fourth proportional to 563,133,833,248.68, 777,139,418,356.74 and 306,231,755,694.12 is: 422,607,832,190.75
Step by Step Solution
- Step 1: Write the proportion equation
563,133,833,248.68 : 777,139,418,356.74 = 306,231,755,694.12 : x - Step 2: Convert to fraction form
563,133,833,248.68/777,139,418,356.74 = 306,231,755,694.12/x - Step 3: Cross multiply
563,133,833,248.68x = 777,139,418,356.74 × 306,231,755,694.12 - Step 4: Simplify right side
563,133,833,248.68x = 237,984,768,502,491,712,061,440 - Step 5: Solve for x
x = 237,984,768,502,491,712,061,440/563,133,833,248.68 - Step 6: Final answer
x = 422,607,832,190.75
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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.