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Finding the Fourth Proportional to 305,872.96, 422,061.60 and 169,896.64

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Solution

The fourth proportional to 305,872.96, 422,061.60 and 169,896.64 is: 234,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872.96 : 422,061.60 = 169,896.64 : x
  2. Step 2: Convert to fraction form
    305,872.96/422,061.60 = 169,896.64/x
  3. Step 3: Cross multiply
    305,872.96x = 422,061.60 × 169,896.64
  4. Step 4: Simplify right side
    305,872.96x = 71,706,847,713.02
  5. Step 5: Solve for x
    x = 71,706,847,713.02/305,872.96
  6. Step 6: Final answer
    x = 234,433.43

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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.