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Finding the Fourth Proportional to 431,791.60, 647,687.40 and 312,905.20

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Solution

The fourth proportional to 431,791.60, 647,687.40 and 312,905.20 is: 469,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,791.60 : 647,687.40 = 312,905.20 : x
  2. Step 2: Convert to fraction form
    431,791.60/647,687.40 = 312,905.20/x
  3. Step 3: Cross multiply
    431,791.60x = 647,687.40 × 312,905.20
  4. Step 4: Simplify right side
    431,791.60x = 202,664,755,434.48
  5. Step 5: Solve for x
    x = 202,664,755,434.48/431,791.60
  6. Step 6: Final answer
    x = 469,357.80

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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.