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Finding the Fourth Proportional to 272,914.20, 408,593.70 and 265,138.20

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Solution

The fourth proportional to 272,914.20, 408,593.70 and 265,138.20 is: 396,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,914.20 : 408,593.70 = 265,138.20 : x
  2. Step 2: Convert to fraction form
    272,914.20/408,593.70 = 265,138.20/x
  3. Step 3: Cross multiply
    272,914.20x = 408,593.70 × 265,138.20
  4. Step 4: Simplify right side
    272,914.20x = 108,333,798,149.34
  5. Step 5: Solve for x
    x = 108,333,798,149.34/272,914.20
  6. Step 6: Final answer
    x = 396,951.86

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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.