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Finding the Fourth Proportional to 278,375.95, 417,560.28 and 68,015.71

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Solution

The fourth proportional to 278,375.95, 417,560.28 and 68,015.71 is: 102,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,375.95 : 417,560.28 = 68,015.71 : x
  2. Step 2: Convert to fraction form
    278,375.95/417,560.28 = 68,015.71/x
  3. Step 3: Cross multiply
    278,375.95x = 417,560.28 × 68,015.71
  4. Step 4: Simplify right side
    278,375.95x = 28,400,658,912.00
  5. Step 5: Solve for x
    x = 28,400,658,912.00/278,375.95
  6. Step 6: Final answer
    x = 102,022.67

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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.