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Finding the Fourth Proportional to 408,753.76, 613,222.89 and 124,469.74

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Solution

The fourth proportional to 408,753.76, 613,222.89 and 124,469.74 is: 186,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,753.76 : 613,222.89 = 124,469.74 : x
  2. Step 2: Convert to fraction form
    408,753.76/613,222.89 = 124,469.74/x
  3. Step 3: Cross multiply
    408,753.76x = 613,222.89 × 124,469.74
  4. Step 4: Simplify right side
    408,753.76x = 76,327,693,680.35
  5. Step 5: Solve for x
    x = 76,327,693,680.35/408,753.76
  6. Step 6: Final answer
    x = 186,732.70

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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.