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Finding the Fourth Proportional to 272,359.70, 408,539.55 and 82,819.70

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Solution

The fourth proportional to 272,359.70, 408,539.55 and 82,819.70 is: 124,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,359.70 : 408,539.55 = 82,819.70 : x
  2. Step 2: Convert to fraction form
    272,359.70/408,539.55 = 82,819.70/x
  3. Step 3: Cross multiply
    272,359.70x = 408,539.55 × 82,819.70
  4. Step 4: Simplify right side
    272,359.70x = 33,835,122,969.14
  5. Step 5: Solve for x
    x = 33,835,122,969.14/272,359.70
  6. Step 6: Final answer
    x = 124,229.55

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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.