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Finding the Fourth Proportional to 305,896.44, 422,204.52 and 169,977

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Solution

The fourth proportional to 305,896.44, 422,204.52 and 169,977 is: 234,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,896.44 : 422,204.52 = 169,977 : x
  2. Step 2: Convert to fraction form
    305,896.44/422,204.52 = 169,977/x
  3. Step 3: Cross multiply
    305,896.44x = 422,204.52 × 169,977
  4. Step 4: Simplify right side
    305,896.44x = 71,765,057,696.04
  5. Step 5: Solve for x
    x = 71,765,057,696.04/305,896.44
  6. Step 6: Final answer
    x = 234,605.73

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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.