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Finding the Fourth Proportional to 305,914.64, 422,229.72 and 169,995.32

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Solution

The fourth proportional to 305,914.64, 422,229.72 and 169,995.32 is: 234,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914.64 : 422,229.72 = 169,995.32 : x
  2. Step 2: Convert to fraction form
    305,914.64/422,229.72 = 169,995.32/x
  3. Step 3: Cross multiply
    305,914.64x = 422,229.72 × 169,995.32
  4. Step 4: Simplify right side
    305,914.64x = 71,777,074,253.76
  5. Step 5: Solve for x
    x = 71,777,074,253.76/305,914.64
  6. Step 6: Final answer
    x = 234,631.06

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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.