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Finding the Fourth Proportional to 539,305.92, 809,062.92 and 206,856

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Solution

The fourth proportional to 539,305.92, 809,062.92 and 206,856 is: 310,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,305.92 : 809,062.92 = 206,856 : x
  2. Step 2: Convert to fraction form
    539,305.92/809,062.92 = 206,856/x
  3. Step 3: Cross multiply
    539,305.92x = 809,062.92 × 206,856
  4. Step 4: Simplify right side
    539,305.92x = 167,359,519,379.52
  5. Step 5: Solve for x
    x = 167,359,519,379.52/539,305.92
  6. Step 6: Final answer
    x = 310,323.91

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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.