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Finding the Fourth Proportional to 288,561.75, 398,207.79 and 161,238.39

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Solution

The fourth proportional to 288,561.75, 398,207.79 and 161,238.39 is: 222,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,561.75 : 398,207.79 = 161,238.39 : x
  2. Step 2: Convert to fraction form
    288,561.75/398,207.79 = 161,238.39/x
  3. Step 3: Cross multiply
    288,561.75x = 398,207.79 × 161,238.39
  4. Step 4: Simplify right side
    288,561.75x = 64,206,382,945.06
  5. Step 5: Solve for x
    x = 64,206,382,945.06/288,561.75
  6. Step 6: Final answer
    x = 222,504.83

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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.