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Finding the Fourth Proportional to 327,918.28, 491,946.54 and 106,285

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Solution

The fourth proportional to 327,918.28, 491,946.54 and 106,285 is: 159,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,918.28 : 491,946.54 = 106,285 : x
  2. Step 2: Convert to fraction form
    327,918.28/491,946.54 = 106,285/x
  3. Step 3: Cross multiply
    327,918.28x = 491,946.54 × 106,285
  4. Step 4: Simplify right side
    327,918.28x = 52,286,538,003.90
  5. Step 5: Solve for x
    x = 52,286,538,003.90/327,918.28
  6. Step 6: Final answer
    x = 159,449.90

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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.