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Finding the Fourth Proportional to 327,657, 491,676.58 and 138,105.78

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Solution

The fourth proportional to 327,657, 491,676.58 and 138,105.78 is: 207,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,657 : 491,676.58 = 138,105.78 : x
  2. Step 2: Convert to fraction form
    327,657/491,676.58 = 138,105.78/x
  3. Step 3: Cross multiply
    327,657x = 491,676.58 × 138,105.78
  4. Step 4: Simplify right side
    327,657x = 67,903,377,588.63
  5. Step 5: Solve for x
    x = 67,903,377,588.63/327,657
  6. Step 6: Final answer
    x = 207,239.21

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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.