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Finding the Fourth Proportional to 431,998.20, 647,997.30 and 416,251.80

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Solution

The fourth proportional to 431,998.20, 647,997.30 and 416,251.80 is: 624,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,998.20 : 647,997.30 = 416,251.80 : x
  2. Step 2: Convert to fraction form
    431,998.20/647,997.30 = 416,251.80/x
  3. Step 3: Cross multiply
    431,998.20x = 647,997.30 × 416,251.80
  4. Step 4: Simplify right side
    431,998.20x = 269,730,042,520.14
  5. Step 5: Solve for x
    x = 269,730,042,520.14/431,998.20
  6. Step 6: Final answer
    x = 624,377.70

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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.