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Finding the Fourth Proportional to 278,352.32, 417,542.52 and 78,687.04

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Solution

The fourth proportional to 278,352.32, 417,542.52 and 78,687.04 is: 118,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,352.32 : 417,542.52 = 78,687.04 : x
  2. Step 2: Convert to fraction form
    278,352.32/417,542.52 = 78,687.04/x
  3. Step 3: Cross multiply
    278,352.32x = 417,542.52 × 78,687.04
  4. Step 4: Simplify right side
    278,352.32x = 32,855,184,972.94
  5. Step 5: Solve for x
    x = 32,855,184,972.94/278,352.32
  6. Step 6: Final answer
    x = 118,034.53

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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.