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Finding the Fourth Proportional to 275,923.88, 380,776.36 and 161,209.04

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Solution

The fourth proportional to 275,923.88, 380,776.36 and 161,209.04 is: 222,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,923.88 : 380,776.36 = 161,209.04 : x
  2. Step 2: Convert to fraction form
    275,923.88/380,776.36 = 161,209.04/x
  3. Step 3: Cross multiply
    275,923.88x = 380,776.36 × 161,209.04
  4. Step 4: Simplify right side
    275,923.88x = 61,384,591,450.29
  5. Step 5: Solve for x
    x = 61,384,591,450.29/275,923.88
  6. Step 6: Final answer
    x = 222,469.30

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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.