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Finding the Fourth Proportional to 387,213.21, 580,469.90 and 137,836.89

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Solution

The fourth proportional to 387,213.21, 580,469.90 and 137,836.89 is: 206,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,213.21 : 580,469.90 = 137,836.89 : x
  2. Step 2: Convert to fraction form
    387,213.21/580,469.90 = 137,836.89/x
  3. Step 3: Cross multiply
    387,213.21x = 580,469.90 × 137,836.89
  4. Step 4: Simplify right side
    387,213.21x = 80,010,165,065.43
  5. Step 5: Solve for x
    x = 80,010,165,065.43/387,213.21
  6. Step 6: Final answer
    x = 206,630.77

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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.