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Finding the Fourth Proportional to 378,791.28, 522,761.46 and 217,702.52

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Solution

The fourth proportional to 378,791.28, 522,761.46 and 217,702.52 is: 300,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,791.28 : 522,761.46 = 217,702.52 : x
  2. Step 2: Convert to fraction form
    378,791.28/522,761.46 = 217,702.52/x
  3. Step 3: Cross multiply
    378,791.28x = 522,761.46 × 217,702.52
  4. Step 4: Simplify right side
    378,791.28x = 113,806,487,200.88
  5. Step 5: Solve for x
    x = 113,806,487,200.88/378,791.28
  6. Step 6: Final answer
    x = 300,446.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.