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Finding the Fourth Proportional to 491,396.47, 737,098.80 and 136,438.17

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Solution

The fourth proportional to 491,396.47, 737,098.80 and 136,438.17 is: 204,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,396.47 : 737,098.80 = 136,438.17 : x
  2. Step 2: Convert to fraction form
    491,396.47/737,098.80 = 136,438.17/x
  3. Step 3: Cross multiply
    491,396.47x = 737,098.80 × 136,438.17
  4. Step 4: Simplify right side
    491,396.47x = 100,568,411,381.20
  5. Step 5: Solve for x
    x = 100,568,411,381.20/491,396.47
  6. Step 6: Final answer
    x = 204,658.39

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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.