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Finding the Fourth Proportional to 278,144.75, 417,079.09 and 88,580.41

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Solution

The fourth proportional to 278,144.75, 417,079.09 and 88,580.41 is: 132,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144.75 : 417,079.09 = 88,580.41 : x
  2. Step 2: Convert to fraction form
    278,144.75/417,079.09 = 88,580.41/x
  3. Step 3: Cross multiply
    278,144.75x = 417,079.09 × 88,580.41
  4. Step 4: Simplify right side
    278,144.75x = 36,945,035,862.65
  5. Step 5: Solve for x
    x = 36,945,035,862.65/278,144.75
  6. Step 6: Final answer
    x = 132,826.65

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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.