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Finding the Fourth Proportional to 280,134, 386,474.72 and 172,517.20

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Solution

The fourth proportional to 280,134, 386,474.72 and 172,517.20 is: 238,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,134 : 386,474.72 = 172,517.20 : x
  2. Step 2: Convert to fraction form
    280,134/386,474.72 = 172,517.20/x
  3. Step 3: Cross multiply
    280,134x = 386,474.72 × 172,517.20
  4. Step 4: Simplify right side
    280,134x = 66,673,536,565.18
  5. Step 5: Solve for x
    x = 66,673,536,565.18/280,134
  6. Step 6: Final answer
    x = 238,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.