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Finding the Fourth Proportional to 485,268.52, 727,410.30 and 185,672.20

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Solution

The fourth proportional to 485,268.52, 727,410.30 and 185,672.20 is: 278,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,268.52 : 727,410.30 = 185,672.20 : x
  2. Step 2: Convert to fraction form
    485,268.52/727,410.30 = 185,672.20/x
  3. Step 3: Cross multiply
    485,268.52x = 727,410.30 × 185,672.20
  4. Step 4: Simplify right side
    485,268.52x = 135,059,870,703.66
  5. Step 5: Solve for x
    x = 135,059,870,703.66/485,268.52
  6. Step 6: Final answer
    x = 278,319.87

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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.