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Finding the Fourth Proportional to 278,874.20, 419,186.10 and 273,625.40

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Solution

The fourth proportional to 278,874.20, 419,186.10 and 273,625.40 is: 411,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,874.20 : 419,186.10 = 273,625.40 : x
  2. Step 2: Convert to fraction form
    278,874.20/419,186.10 = 273,625.40/x
  3. Step 3: Cross multiply
    278,874.20x = 419,186.10 × 273,625.40
  4. Step 4: Simplify right side
    278,874.20x = 114,699,964,286.94
  5. Step 5: Solve for x
    x = 114,699,964,286.94/278,874.20
  6. Step 6: Final answer
    x = 411,296.44

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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.