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Finding the Fourth Proportional to 278,662.22, 417,993.24 and 68,298.38

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Solution

The fourth proportional to 278,662.22, 417,993.24 and 68,298.38 is: 102,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,662.22 : 417,993.24 = 68,298.38 : x
  2. Step 2: Convert to fraction form
    278,662.22/417,993.24 = 68,298.38/x
  3. Step 3: Cross multiply
    278,662.22x = 417,993.24 × 68,298.38
  4. Step 4: Simplify right side
    278,662.22x = 28,548,261,142.95
  5. Step 5: Solve for x
    x = 28,548,261,142.95/278,662.22
  6. Step 6: Final answer
    x = 102,447.55

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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.