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Finding the Fourth Proportional to 279,711.23, 419,383.02 and 135,578.90

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Solution

The fourth proportional to 279,711.23, 419,383.02 and 135,578.90 is: 203,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,711.23 : 419,383.02 = 135,578.90 : x
  2. Step 2: Convert to fraction form
    279,711.23/419,383.02 = 135,578.90/x
  3. Step 3: Cross multiply
    279,711.23x = 419,383.02 × 135,578.90
  4. Step 4: Simplify right side
    279,711.23x = 56,859,488,530.28
  5. Step 5: Solve for x
    x = 56,859,488,530.28/279,711.23
  6. Step 6: Final answer
    x = 203,279.25

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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.