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Finding the Fourth Proportional to 431,512.60, 647,212.20 and 132,023.20

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Solution

The fourth proportional to 431,512.60, 647,212.20 and 132,023.20 is: 198,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,512.60 : 647,212.20 = 132,023.20 : x
  2. Step 2: Convert to fraction form
    431,512.60/647,212.20 = 132,023.20/x
  3. Step 3: Cross multiply
    431,512.60x = 647,212.20 × 132,023.20
  4. Step 4: Simplify right side
    431,512.60x = 85,447,025,723.04
  5. Step 5: Solve for x
    x = 85,447,025,723.04/431,512.60
  6. Step 6: Final answer
    x = 198,017.45

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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.