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Finding the Fourth Proportional to 431,976.92, 647,941.12 and 132,456.68

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Solution

The fourth proportional to 431,976.92, 647,941.12 and 132,456.68 is: 198,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976.92 : 647,941.12 = 132,456.68 : x
  2. Step 2: Convert to fraction form
    431,976.92/647,941.12 = 132,456.68/x
  3. Step 3: Cross multiply
    431,976.92x = 647,941.12 × 132,456.68
  4. Step 4: Simplify right side
    431,976.92x = 85,824,126,019.83
  5. Step 5: Solve for x
    x = 85,824,126,019.83/431,976.92
  6. Step 6: Final answer
    x = 198,677.57

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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.