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Finding the Fourth Proportional to 305,639.32, 421,761.10 and 169,662.52

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Solution

The fourth proportional to 305,639.32, 421,761.10 and 169,662.52 is: 234,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,639.32 : 421,761.10 = 169,662.52 : x
  2. Step 2: Convert to fraction form
    305,639.32/421,761.10 = 169,662.52/x
  3. Step 3: Cross multiply
    305,639.32x = 421,761.10 × 169,662.52
  4. Step 4: Simplify right side
    305,639.32x = 71,557,051,063.97
  5. Step 5: Solve for x
    x = 71,557,051,063.97/305,639.32
  6. Step 6: Final answer
    x = 234,122.53

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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.