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Finding the Fourth Proportional to 518,446.50, 715,456.20 and 279,982.50

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Solution

The fourth proportional to 518,446.50, 715,456.20 and 279,982.50 is: 386,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,446.50 : 715,456.20 = 279,982.50 : x
  2. Step 2: Convert to fraction form
    518,446.50/715,456.20 = 279,982.50/x
  3. Step 3: Cross multiply
    518,446.50x = 715,456.20 × 279,982.50
  4. Step 4: Simplify right side
    518,446.50x = 200,315,215,516.50
  5. Step 5: Solve for x
    x = 200,315,215,516.50/518,446.50
  6. Step 6: Final answer
    x = 386,375.87

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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.