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Finding the Fourth Proportional to 278,892, 419,855.49 and 254,091.42

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Solution

The fourth proportional to 278,892, 419,855.49 and 254,091.42 is: 382,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892 : 419,855.49 = 254,091.42 : x
  2. Step 2: Convert to fraction form
    278,892/419,855.49 = 254,091.42/x
  3. Step 3: Cross multiply
    278,892x = 419,855.49 × 254,091.42
  4. Step 4: Simplify right side
    278,892x = 106,681,677,648.90
  5. Step 5: Solve for x
    x = 106,681,677,648.90/278,892
  6. Step 6: Final answer
    x = 382,519.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.