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Finding the Fourth Proportional to 491,985.92, 738,082.56 and 159,536

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Solution

The fourth proportional to 491,985.92, 738,082.56 and 159,536 is: 239,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,985.92 : 738,082.56 = 159,536 : x
  2. Step 2: Convert to fraction form
    491,985.92/738,082.56 = 159,536/x
  3. Step 3: Cross multiply
    491,985.92x = 738,082.56 × 159,536
  4. Step 4: Simplify right side
    491,985.92x = 117,750,739,292.16
  5. Step 5: Solve for x
    x = 117,750,739,292.16/491,985.92
  6. Step 6: Final answer
    x = 239,337.62

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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.