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Finding the Fourth Proportional to 539,861.24, 809,708.82 and 180,038.39

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Solution

The fourth proportional to 539,861.24, 809,708.82 and 180,038.39 is: 270,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,861.24 : 809,708.82 = 180,038.39 : x
  2. Step 2: Convert to fraction form
    539,861.24/809,708.82 = 180,038.39/x
  3. Step 3: Cross multiply
    539,861.24x = 809,708.82 × 180,038.39
  4. Step 4: Simplify right side
    539,861.24x = 145,778,668,273.06
  5. Step 5: Solve for x
    x = 145,778,668,273.06/539,861.24
  6. Step 6: Final answer
    x = 270,029.89

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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.