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Finding the Fourth Proportional to 516,781.87, 775,276.29 and 289,400.85

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Solution

The fourth proportional to 516,781.87, 775,276.29 and 289,400.85 is: 434,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,781.87 : 775,276.29 = 289,400.85 : x
  2. Step 2: Convert to fraction form
    516,781.87/775,276.29 = 289,400.85/x
  3. Step 3: Cross multiply
    516,781.87x = 775,276.29 × 289,400.85
  4. Step 4: Simplify right side
    516,781.87x = 224,365,617,310.85
  5. Step 5: Solve for x
    x = 224,365,617,310.85/516,781.87
  6. Step 6: Final answer
    x = 434,159.23

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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.