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Finding the Fourth Proportional to 278,002.44, 416,999.88 and 67,640.58

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Solution

The fourth proportional to 278,002.44, 416,999.88 and 67,640.58 is: 101,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.44 : 416,999.88 = 67,640.58 : x
  2. Step 2: Convert to fraction form
    278,002.44/416,999.88 = 67,640.58/x
  3. Step 3: Cross multiply
    278,002.44x = 416,999.88 × 67,640.58
  4. Step 4: Simplify right side
    278,002.44x = 28,206,113,743.13
  5. Step 5: Solve for x
    x = 28,206,113,743.13/278,002.44
  6. Step 6: Final answer
    x = 101,459.95

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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.