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Finding the Fourth Proportional to 500,078.20, 690,102.30 and 273,721

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Solution

The fourth proportional to 500,078.20, 690,102.30 and 273,721 is: 377,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,078.20 : 690,102.30 = 273,721 : x
  2. Step 2: Convert to fraction form
    500,078.20/690,102.30 = 273,721/x
  3. Step 3: Cross multiply
    500,078.20x = 690,102.30 × 273,721
  4. Step 4: Simplify right side
    500,078.20x = 188,895,491,658.30
  5. Step 5: Solve for x
    x = 188,895,491,658.30/500,078.20
  6. Step 6: Final answer
    x = 377,731.91

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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.