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Finding the Fourth Proportional to 431,685.60, 647,471.70 and 132,196.20

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Solution

The fourth proportional to 431,685.60, 647,471.70 and 132,196.20 is: 198,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.60 : 647,471.70 = 132,196.20 : x
  2. Step 2: Convert to fraction form
    431,685.60/647,471.70 = 132,196.20/x
  3. Step 3: Cross multiply
    431,685.60x = 647,471.70 × 132,196.20
  4. Step 4: Simplify right side
    431,685.60x = 85,593,298,347.54
  5. Step 5: Solve for x
    x = 85,593,298,347.54/431,685.60
  6. Step 6: Final answer
    x = 198,276.94

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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.