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Finding the Fourth Proportional to 543,138.70, 814,708.05 and 342,372.10

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Solution

The fourth proportional to 543,138.70, 814,708.05 and 342,372.10 is: 513,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,138.70 : 814,708.05 = 342,372.10 : x
  2. Step 2: Convert to fraction form
    543,138.70/814,708.05 = 342,372.10/x
  3. Step 3: Cross multiply
    543,138.70x = 814,708.05 × 342,372.10
  4. Step 4: Simplify right side
    543,138.70x = 278,933,305,965.41
  5. Step 5: Solve for x
    x = 278,933,305,965.41/543,138.70
  6. Step 6: Final answer
    x = 513,558.15

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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.