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Finding the Fourth Proportional to 431,524.80, 647,263.89 and 132,005.43

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Solution

The fourth proportional to 431,524.80, 647,263.89 and 132,005.43 is: 198,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,524.80 : 647,263.89 = 132,005.43 : x
  2. Step 2: Convert to fraction form
    431,524.80/647,263.89 = 132,005.43/x
  3. Step 3: Cross multiply
    431,524.80x = 647,263.89 × 132,005.43
  4. Step 4: Simplify right side
    431,524.80x = 85,442,348,122.92
  5. Step 5: Solve for x
    x = 85,442,348,122.92/431,524.80
  6. Step 6: Final answer
    x = 198,001.01

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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.