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Finding the Fourth Proportional to 278,686.39, 417,922.59 and 118,660.87

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Solution

The fourth proportional to 278,686.39, 417,922.59 and 118,660.87 is: 177,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,686.39 : 417,922.59 = 118,660.87 : x
  2. Step 2: Convert to fraction form
    278,686.39/417,922.59 = 118,660.87/x
  3. Step 3: Cross multiply
    278,686.39x = 417,922.59 × 118,660.87
  4. Step 4: Simplify right side
    278,686.39x = 49,591,058,122.05
  5. Step 5: Solve for x
    x = 49,591,058,122.05/278,686.39
  6. Step 6: Final answer
    x = 177,945.75

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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.