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Finding the Fourth Proportional to 261,472.64, 392,214.42 and 74,484.14

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Solution

The fourth proportional to 261,472.64, 392,214.42 and 74,484.14 is: 111,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,472.64 : 392,214.42 = 74,484.14 : x
  2. Step 2: Convert to fraction form
    261,472.64/392,214.42 = 74,484.14/x
  3. Step 3: Cross multiply
    261,472.64x = 392,214.42 × 74,484.14
  4. Step 4: Simplify right side
    261,472.64x = 29,213,753,769.30
  5. Step 5: Solve for x
    x = 29,213,753,769.30/261,472.64
  6. Step 6: Final answer
    x = 111,727.77

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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.