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Finding the Fourth Proportional to 431,840.40, 647,737.22 and 132,321.86

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Solution

The fourth proportional to 431,840.40, 647,737.22 and 132,321.86 is: 198,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840.40 : 647,737.22 = 132,321.86 : x
  2. Step 2: Convert to fraction form
    431,840.40/647,737.22 = 132,321.86/x
  3. Step 3: Cross multiply
    431,840.40x = 647,737.22 × 132,321.86
  4. Step 4: Simplify right side
    431,840.40x = 85,709,793,262.76
  5. Step 5: Solve for x
    x = 85,709,793,262.76/431,840.40
  6. Step 6: Final answer
    x = 198,475.63

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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.