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Finding the Fourth Proportional to 381,691.85, 572,734.60 and 157,218.17

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Solution

The fourth proportional to 381,691.85, 572,734.60 and 157,218.17 is: 235,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,691.85 : 572,734.60 = 157,218.17 : x
  2. Step 2: Convert to fraction form
    381,691.85/572,734.60 = 157,218.17/x
  3. Step 3: Cross multiply
    381,691.85x = 572,734.60 × 157,218.17
  4. Step 4: Simplify right side
    381,691.85x = 90,044,282,450.96
  5. Step 5: Solve for x
    x = 90,044,282,450.96/381,691.85
  6. Step 6: Final answer
    x = 235,908.32

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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.