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Finding the Fourth Proportional to 278,120.88, 383,665.50 and 175,974.12

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Solution

The fourth proportional to 278,120.88, 383,665.50 and 175,974.12 is: 242,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,120.88 : 383,665.50 = 175,974.12 : x
  2. Step 2: Convert to fraction form
    278,120.88/383,665.50 = 175,974.12/x
  3. Step 3: Cross multiply
    278,120.88x = 383,665.50 × 175,974.12
  4. Step 4: Simplify right side
    278,120.88x = 67,515,198,736.86
  5. Step 5: Solve for x
    x = 67,515,198,736.86/278,120.88
  6. Step 6: Final answer
    x = 242,754.87

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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.