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Finding the Fourth Proportional to 305,959.93, 422,198.30 and 169,991.41

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Solution

The fourth proportional to 305,959.93, 422,198.30 and 169,991.41 is: 234,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,959.93 : 422,198.30 = 169,991.41 : x
  2. Step 2: Convert to fraction form
    305,959.93/422,198.30 = 169,991.41/x
  3. Step 3: Cross multiply
    305,959.93x = 422,198.30 × 169,991.41
  4. Step 4: Simplify right side
    305,959.93x = 71,770,083,999.61
  5. Step 5: Solve for x
    x = 71,770,083,999.61/305,959.93
  6. Step 6: Final answer
    x = 234,573.47

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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.