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Finding the Fourth Proportional to 431,409.60, 647,057.70 and 131,920.20

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Solution

The fourth proportional to 431,409.60, 647,057.70 and 131,920.20 is: 197,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,409.60 : 647,057.70 = 131,920.20 : x
  2. Step 2: Convert to fraction form
    431,409.60/647,057.70 = 131,920.20/x
  3. Step 3: Cross multiply
    431,409.60x = 647,057.70 × 131,920.20
  4. Step 4: Simplify right side
    431,409.60x = 85,359,981,195.54
  5. Step 5: Solve for x
    x = 85,359,981,195.54/431,409.60
  6. Step 6: Final answer
    x = 197,862.96

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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.