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Finding the Fourth Proportional to 412,359.47, 617,489.18 and 271,691.63

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Solution

The fourth proportional to 412,359.47, 617,489.18 and 271,691.63 is: 406,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,359.47 : 617,489.18 = 271,691.63 : x
  2. Step 2: Convert to fraction form
    412,359.47/617,489.18 = 271,691.63/x
  3. Step 3: Cross multiply
    412,359.47x = 617,489.18 × 271,691.63
  4. Step 4: Simplify right side
    412,359.47x = 167,766,640,463.11
  5. Step 5: Solve for x
    x = 167,766,640,463.11/412,359.47
  6. Step 6: Final answer
    x = 406,845.61

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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.