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Finding the Fourth Proportional to 539,772.30, 809,658.45 and 516,735.90

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Solution

The fourth proportional to 539,772.30, 809,658.45 and 516,735.90 is: 775,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,772.30 : 809,658.45 = 516,735.90 : x
  2. Step 2: Convert to fraction form
    539,772.30/809,658.45 = 516,735.90/x
  3. Step 3: Cross multiply
    539,772.30x = 809,658.45 × 516,735.90
  4. Step 4: Simplify right side
    539,772.30x = 418,379,587,853.36
  5. Step 5: Solve for x
    x = 418,379,587,853.36/539,772.30
  6. Step 6: Final answer
    x = 775,103.85

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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.