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Finding the Fourth Proportional to 539,862.74, 809,711.08 and 180,039.88

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Solution

The fourth proportional to 539,862.74, 809,711.08 and 180,039.88 is: 270,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,862.74 : 809,711.08 = 180,039.88 : x
  2. Step 2: Convert to fraction form
    539,862.74/809,711.08 = 180,039.88/x
  3. Step 3: Cross multiply
    539,862.74x = 809,711.08 × 180,039.88
  4. Step 4: Simplify right side
    539,862.74x = 145,780,285,677.87
  5. Step 5: Solve for x
    x = 145,780,285,677.87/539,862.74
  6. Step 6: Final answer
    x = 270,032.13

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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.