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Finding the Fourth Proportional to 305,863.20, 422,076.92 and 169,905.90

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Solution

The fourth proportional to 305,863.20, 422,076.92 and 169,905.90 is: 234,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.20 : 422,076.92 = 169,905.90 : x
  2. Step 2: Convert to fraction form
    305,863.20/422,076.92 = 169,905.90/x
  3. Step 3: Cross multiply
    305,863.20x = 422,076.92 × 169,905.90
  4. Step 4: Simplify right side
    305,863.20x = 71,713,358,961.83
  5. Step 5: Solve for x
    x = 71,713,358,961.83/305,863.20
  6. Step 6: Final answer
    x = 234,462.20

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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.