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Finding the Fourth Proportional to 347,344.20, 520,744.14 and 137,139.48

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Solution

The fourth proportional to 347,344.20, 520,744.14 and 137,139.48 is: 205,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,344.20 : 520,744.14 = 137,139.48 : x
  2. Step 2: Convert to fraction form
    347,344.20/520,744.14 = 137,139.48/x
  3. Step 3: Cross multiply
    347,344.20x = 520,744.14 × 137,139.48
  4. Step 4: Simplify right side
    347,344.20x = 71,414,580,572.65
  5. Step 5: Solve for x
    x = 71,414,580,572.65/347,344.20
  6. Step 6: Final answer
    x = 205,601.76

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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.