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Finding the Fourth Proportional to 305,841.56, 422,049.70 and 169,884.27

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Solution

The fourth proportional to 305,841.56, 422,049.70 and 169,884.27 is: 234,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,841.56 : 422,049.70 = 169,884.27 : x
  2. Step 2: Convert to fraction form
    305,841.56/422,049.70 = 169,884.27/x
  3. Step 3: Cross multiply
    305,841.56x = 422,049.70 × 169,884.27
  4. Step 4: Simplify right side
    305,841.56x = 71,699,605,188.22
  5. Step 5: Solve for x
    x = 71,699,605,188.22/305,841.56
  6. Step 6: Final answer
    x = 234,433.82

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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.