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Finding the Fourth Proportional to 272,498.28, 408,813.06 and 85,509.78

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Solution

The fourth proportional to 272,498.28, 408,813.06 and 85,509.78 is: 128,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,498.28 : 408,813.06 = 85,509.78 : x
  2. Step 2: Convert to fraction form
    272,498.28/408,813.06 = 85,509.78/x
  3. Step 3: Cross multiply
    272,498.28x = 408,813.06 × 85,509.78
  4. Step 4: Simplify right side
    272,498.28x = 34,957,514,821.73
  5. Step 5: Solve for x
    x = 34,957,514,821.73/272,498.28
  6. Step 6: Final answer
    x = 128,285.27

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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.