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Finding the Fourth Proportional to 501,174.27, 690,951.39 and 398,150.31

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Solution

The fourth proportional to 501,174.27, 690,951.39 and 398,150.31 is: 548,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,174.27 : 690,951.39 = 398,150.31 : x
  2. Step 2: Convert to fraction form
    501,174.27/690,951.39 = 398,150.31/x
  3. Step 3: Cross multiply
    501,174.27x = 690,951.39 × 398,150.31
  4. Step 4: Simplify right side
    501,174.27x = 275,102,510,123.43
  5. Step 5: Solve for x
    x = 275,102,510,123.43/501,174.27
  6. Step 6: Final answer
    x = 548,915.87

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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.