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Finding the Fourth Proportional to 305,844.66, 422,065.49 and 169,891.22

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Solution

The fourth proportional to 305,844.66, 422,065.49 and 169,891.22 is: 234,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,844.66 : 422,065.49 = 169,891.22 : x
  2. Step 2: Convert to fraction form
    305,844.66/422,065.49 = 169,891.22/x
  3. Step 3: Cross multiply
    305,844.66x = 422,065.49 × 169,891.22
  4. Step 4: Simplify right side
    305,844.66x = 71,705,221,221.71
  5. Step 5: Solve for x
    x = 71,705,221,221.71/305,844.66
  6. Step 6: Final answer
    x = 234,449.81

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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.