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Finding the Fourth Proportional to 862,497, 1,292,034.18 and 406,463.76

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Solution

The fourth proportional to 862,497, 1,292,034.18 and 406,463.76 is: 608,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,497 : 1,292,034.18 = 406,463.76 : x
  2. Step 2: Convert to fraction form
    862,497/1,292,034.18 = 406,463.76/x
  3. Step 3: Cross multiply
    862,497x = 1,292,034.18 × 406,463.76
  4. Step 4: Simplify right side
    862,497x = 525,165,070,851.32
  5. Step 5: Solve for x
    x = 525,165,070,851.32/862,497
  6. Step 6: Final answer
    x = 608,889.16

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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.