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Finding the Fourth Proportional to 305,959.80, 422,233.92 and 185,123.28

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Solution

The fourth proportional to 305,959.80, 422,233.92 and 185,123.28 is: 255,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,959.80 : 422,233.92 = 185,123.28 : x
  2. Step 2: Convert to fraction form
    305,959.80/422,233.92 = 185,123.28/x
  3. Step 3: Cross multiply
    305,959.80x = 422,233.92 × 185,123.28
  4. Step 4: Simplify right side
    305,959.80x = 78,165,328,197.66
  5. Step 5: Solve for x
    x = 78,165,328,197.66/305,959.80
  6. Step 6: Final answer
    x = 255,475.81

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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.