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Finding the Fourth Proportional to 278,380.80, 417,571.20 and 178,735.61

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Solution

The fourth proportional to 278,380.80, 417,571.20 and 178,735.61 is: 268,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,380.80 : 417,571.20 = 178,735.61 : x
  2. Step 2: Convert to fraction form
    278,380.80/417,571.20 = 178,735.61/x
  3. Step 3: Cross multiply
    278,380.80x = 417,571.20 × 178,735.61
  4. Step 4: Simplify right side
    278,380.80x = 74,634,844,194.36
  5. Step 5: Solve for x
    x = 74,634,844,194.36/278,380.80
  6. Step 6: Final answer
    x = 268,103.42

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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.