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Finding the Fourth Proportional to 217,911.76, 327,144.12 and 185,287.12

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Solution

The fourth proportional to 217,911.76, 327,144.12 and 185,287.12 is: 278,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,911.76 : 327,144.12 = 185,287.12 : x
  2. Step 2: Convert to fraction form
    217,911.76/327,144.12 = 185,287.12/x
  3. Step 3: Cross multiply
    217,911.76x = 327,144.12 × 185,287.12
  4. Step 4: Simplify right side
    217,911.76x = 60,615,591,819.73
  5. Step 5: Solve for x
    x = 60,615,591,819.73/217,911.76
  6. Step 6: Final answer
    x = 278,165.77

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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.