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Finding the Fourth Proportional to 347,781.80, 521,672.70 and 137,311.40

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Solution

The fourth proportional to 347,781.80, 521,672.70 and 137,311.40 is: 205,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,781.80 : 521,672.70 = 137,311.40 : x
  2. Step 2: Convert to fraction form
    347,781.80/521,672.70 = 137,311.40/x
  3. Step 3: Cross multiply
    347,781.80x = 521,672.70 × 137,311.40
  4. Step 4: Simplify right side
    347,781.80x = 71,631,608,778.78
  5. Step 5: Solve for x
    x = 71,631,608,778.78/347,781.80
  6. Step 6: Final answer
    x = 205,967.10

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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.