Finding the Fourth Proportional to 394,678,823,287.41, 590,998,644,278.71 and 272,393,720,593.62
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Solution
The fourth proportional to 394,678,823,287.41, 590,998,644,278.71 and 272,393,720,593.62 is: 407,886,894,563.97
Step by Step Solution
- Step 1: Write the proportion equation
394,678,823,287.41 : 590,998,644,278.71 = 272,393,720,593.62 : x - Step 2: Convert to fraction form
394,678,823,287.41/590,998,644,278.71 = 272,393,720,593.62/x - Step 3: Cross multiply
394,678,823,287.41x = 590,998,644,278.71 × 272,393,720,593.62 - Step 4: Simplify right side
394,678,823,287.41x = 160,984,319,580,863,125,782,528 - Step 5: Solve for x
x = 160,984,319,580,863,125,782,528/394,678,823,287.41 - Step 6: Final answer
x = 407,886,894,563.97
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.