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Finding the Fourth Proportional to 491,961.92, 738,046.56 and 159,512

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Solution

The fourth proportional to 491,961.92, 738,046.56 and 159,512 is: 239,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,961.92 : 738,046.56 = 159,512 : x
  2. Step 2: Convert to fraction form
    491,961.92/738,046.56 = 159,512/x
  3. Step 3: Cross multiply
    491,961.92x = 738,046.56 × 159,512
  4. Step 4: Simplify right side
    491,961.92x = 117,727,282,878.72
  5. Step 5: Solve for x
    x = 117,727,282,878.72/491,961.92
  6. Step 6: Final answer
    x = 239,301.62

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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.