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Finding the Fourth Proportional to 280,928.06, 422,305.54 and 225,375.83

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Solution

The fourth proportional to 280,928.06, 422,305.54 and 225,375.83 is: 338,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,928.06 : 422,305.54 = 225,375.83 : x
  2. Step 2: Convert to fraction form
    280,928.06/422,305.54 = 225,375.83/x
  3. Step 3: Cross multiply
    280,928.06x = 422,305.54 × 225,375.83
  4. Step 4: Simplify right side
    280,928.06x = 95,177,461,591.10
  5. Step 5: Solve for x
    x = 95,177,461,591.10/280,928.06
  6. Step 6: Final answer
    x = 338,796.56

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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.