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Finding the Fourth Proportional to 485,269.52, 727,411.80 and 185,673.20

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Solution

The fourth proportional to 485,269.52, 727,411.80 and 185,673.20 is: 278,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,269.52 : 727,411.80 = 185,673.20 : x
  2. Step 2: Convert to fraction form
    485,269.52/727,411.80 = 185,673.20/x
  3. Step 3: Cross multiply
    485,269.52x = 727,411.80 × 185,673.20
  4. Step 4: Simplify right side
    485,269.52x = 135,060,876,623.76
  5. Step 5: Solve for x
    x = 135,060,876,623.76/485,269.52
  6. Step 6: Final answer
    x = 278,321.37

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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.