Finding the Fourth Proportional to 942,148,151.28, 1,413,375,616.40 and 278,229,326.17
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Solution
The fourth proportional to 942,148,151.28, 1,413,375,616.40 and 278,229,326.17 is: 417,389,287.28
Step by Step Solution
- Step 1: Write the proportion equation
942,148,151.28 : 1,413,375,616.40 = 278,229,326.17 : x - Step 2: Convert to fraction form
942,148,151.28/1,413,375,616.40 = 278,229,326.17/x - Step 3: Cross multiply
942,148,151.28x = 1,413,375,616.40 × 278,229,326.17 - Step 4: Simplify right side
942,148,151.28x = 393,242,545,376,080,448 - Step 5: Solve for x
x = 393,242,545,376,080,448/942,148,151.28 - Step 6: Final answer
x = 417,389,287.28
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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.