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Finding the Fourth Proportional to 431,652.60, 647,422.20 and 132,163.20

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Solution

The fourth proportional to 431,652.60, 647,422.20 and 132,163.20 is: 198,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,652.60 : 647,422.20 = 132,163.20 : x
  2. Step 2: Convert to fraction form
    431,652.60/647,422.20 = 132,163.20/x
  3. Step 3: Cross multiply
    431,652.60x = 647,422.20 × 132,163.20
  4. Step 4: Simplify right side
    431,652.60x = 85,565,389,703.04
  5. Step 5: Solve for x
    x = 85,565,389,703.04/431,652.60
  6. Step 6: Final answer
    x = 198,227.44

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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.