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Finding the Fourth Proportional to 491,508, 737,379 and 159,084

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Solution

The fourth proportional to 491,508, 737,379 and 159,084 is: 238,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,508 : 737,379 = 159,084 : x
  2. Step 2: Convert to fraction form
    491,508/737,379 = 159,084/x
  3. Step 3: Cross multiply
    491,508x = 737,379 × 159,084
  4. Step 4: Simplify right side
    491,508x = 117,305,200,836
  5. Step 5: Solve for x
    x = 117,305,200,836/491,508
  6. Step 6: Final answer
    x = 238,663.87

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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.