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Finding the Fourth Proportional to 539,318.38, 809,286.68 and 219,411.22

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Solution

The fourth proportional to 539,318.38, 809,286.68 and 219,411.22 is: 329,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,318.38 : 809,286.68 = 219,411.22 : x
  2. Step 2: Convert to fraction form
    539,318.38/809,286.68 = 219,411.22/x
  3. Step 3: Cross multiply
    539,318.38x = 809,286.68 × 219,411.22
  4. Step 4: Simplify right side
    539,318.38x = 177,566,577,788.55
  5. Step 5: Solve for x
    x = 177,566,577,788.55/539,318.38
  6. Step 6: Final answer
    x = 329,242.59

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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.