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Finding the Fourth Proportional to 272,498.10, 408,747.15 and 85,509.30

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Solution

The fourth proportional to 272,498.10, 408,747.15 and 85,509.30 is: 128,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,498.10 : 408,747.15 = 85,509.30 : x
  2. Step 2: Convert to fraction form
    272,498.10/408,747.15 = 85,509.30/x
  3. Step 3: Cross multiply
    272,498.10x = 408,747.15 × 85,509.30
  4. Step 4: Simplify right side
    272,498.10x = 34,951,682,673.50
  5. Step 5: Solve for x
    x = 34,951,682,673.50/272,498.10
  6. Step 6: Final answer
    x = 128,263.95

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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.