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Finding the Fourth Proportional to 431,469.60, 647,204.40 and 242,512.80

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Solution

The fourth proportional to 431,469.60, 647,204.40 and 242,512.80 is: 363,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,469.60 : 647,204.40 = 242,512.80 : x
  2. Step 2: Convert to fraction form
    431,469.60/647,204.40 = 242,512.80/x
  3. Step 3: Cross multiply
    431,469.60x = 647,204.40 × 242,512.80
  4. Step 4: Simplify right side
    431,469.60x = 156,955,351,216.32
  5. Step 5: Solve for x
    x = 156,955,351,216.32/431,469.60
  6. Step 6: Final answer
    x = 363,769.20

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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.