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Finding the Fourth Proportional to 229,151.70, 343,727.55 and 218,265.30

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Solution

The fourth proportional to 229,151.70, 343,727.55 and 218,265.30 is: 327,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151.70 : 343,727.55 = 218,265.30 : x
  2. Step 2: Convert to fraction form
    229,151.70/343,727.55 = 218,265.30/x
  3. Step 3: Cross multiply
    229,151.70x = 343,727.55 × 218,265.30
  4. Step 4: Simplify right side
    229,151.70x = 75,023,796,819.02
  5. Step 5: Solve for x
    x = 75,023,796,819.02/229,151.70
  6. Step 6: Final answer
    x = 327,397.95

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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.