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Finding the Fourth Proportional to 275,893.98, 380,751.30 and 161,209.80

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Solution

The fourth proportional to 275,893.98, 380,751.30 and 161,209.80 is: 222,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,893.98 : 380,751.30 = 161,209.80 : x
  2. Step 2: Convert to fraction form
    275,893.98/380,751.30 = 161,209.80/x
  3. Step 3: Cross multiply
    275,893.98x = 380,751.30 × 161,209.80
  4. Step 4: Simplify right side
    275,893.98x = 61,380,840,922.74
  5. Step 5: Solve for x
    x = 61,380,840,922.74/275,893.98
  6. Step 6: Final answer
    x = 222,479.81

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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.