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Finding the Fourth Proportional to 431,402.80, 647,105.84 and 131,882.24

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Solution

The fourth proportional to 431,402.80, 647,105.84 and 131,882.24 is: 197,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,402.80 : 647,105.84 = 131,882.24 : x
  2. Step 2: Convert to fraction form
    431,402.80/647,105.84 = 131,882.24/x
  3. Step 3: Cross multiply
    431,402.80x = 647,105.84 × 131,882.24
  4. Step 4: Simplify right side
    431,402.80x = 85,341,767,696.28
  5. Step 5: Solve for x
    x = 85,341,767,696.28/431,402.80
  6. Step 6: Final answer
    x = 197,823.86

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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.