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Finding the Fourth Proportional to 278,375.70, 417,381.30 and 109,794.45

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Solution

The fourth proportional to 278,375.70, 417,381.30 and 109,794.45 is: 164,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,375.70 : 417,381.30 = 109,794.45 : x
  2. Step 2: Convert to fraction form
    278,375.70/417,381.30 = 109,794.45/x
  3. Step 3: Cross multiply
    278,375.70x = 417,381.30 × 109,794.45
  4. Step 4: Simplify right side
    278,375.70x = 45,826,150,273.79
  5. Step 5: Solve for x
    x = 45,826,150,273.79/278,375.70
  6. Step 6: Final answer
    x = 164,619.79

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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.