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Finding the Fourth Proportional to 431,375.80, 647,447.70 and 253,660.60

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Solution

The fourth proportional to 431,375.80, 647,447.70 and 253,660.60 is: 380,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,375.80 : 647,447.70 = 253,660.60 : x
  2. Step 2: Convert to fraction form
    431,375.80/647,447.70 = 253,660.60/x
  3. Step 3: Cross multiply
    431,375.80x = 647,447.70 × 253,660.60
  4. Step 4: Simplify right side
    431,375.80x = 164,231,972,050.62
  5. Step 5: Solve for x
    x = 164,231,972,050.62/431,375.80
  6. Step 6: Final answer
    x = 380,716.70

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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.