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Finding the Fourth Proportional to 275,921.40, 380,765.70 and 162,780.60

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Solution

The fourth proportional to 275,921.40, 380,765.70 and 162,780.60 is: 224,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,921.40 : 380,765.70 = 162,780.60 : x
  2. Step 2: Convert to fraction form
    275,921.40/380,765.70 = 162,780.60/x
  3. Step 3: Cross multiply
    275,921.40x = 380,765.70 × 162,780.60
  4. Step 4: Simplify right side
    275,921.40x = 61,981,269,105.42
  5. Step 5: Solve for x
    x = 61,981,269,105.42/275,921.40
  6. Step 6: Final answer
    x = 224,633.79

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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.