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Finding the Fourth Proportional to 305,912.20, 422,158.46 and 169,958.70

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Solution

The fourth proportional to 305,912.20, 422,158.46 and 169,958.70 is: 234,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,912.20 : 422,158.46 = 169,958.70 : x
  2. Step 2: Convert to fraction form
    305,912.20/422,158.46 = 169,958.70/x
  3. Step 3: Cross multiply
    305,912.20x = 422,158.46 × 169,958.70
  4. Step 4: Simplify right side
    305,912.20x = 71,749,503,055.60
  5. Step 5: Solve for x
    x = 71,749,503,055.60/305,912.20
  6. Step 6: Final answer
    x = 234,542.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.