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Finding the Fourth Proportional to 280,691.88, 420,754.14 and 120,872.04

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Solution

The fourth proportional to 280,691.88, 420,754.14 and 120,872.04 is: 181,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,691.88 : 420,754.14 = 120,872.04 : x
  2. Step 2: Convert to fraction form
    280,691.88/420,754.14 = 120,872.04/x
  3. Step 3: Cross multiply
    280,691.88x = 420,754.14 × 120,872.04
  4. Step 4: Simplify right side
    280,691.88x = 50,857,411,240.25
  5. Step 5: Solve for x
    x = 50,857,411,240.25/280,691.88
  6. Step 6: Final answer
    x = 181,185.90

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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.