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Finding the Fourth Proportional to 278,198.44, 383,849.54 and 187,722.25

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Solution

The fourth proportional to 278,198.44, 383,849.54 and 187,722.25 is: 259,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,198.44 : 383,849.54 = 187,722.25 : x
  2. Step 2: Convert to fraction form
    278,198.44/383,849.54 = 187,722.25/x
  3. Step 3: Cross multiply
    278,198.44x = 383,849.54 × 187,722.25
  4. Step 4: Simplify right side
    278,198.44x = 72,057,099,310.27
  5. Step 5: Solve for x
    x = 72,057,099,310.27/278,198.44
  6. Step 6: Final answer
    x = 259,013.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.