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Finding the Fourth Proportional to 275,279.60, 413,162.40 and 162,819.20

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Solution

The fourth proportional to 275,279.60, 413,162.40 and 162,819.20 is: 244,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,279.60 : 413,162.40 = 162,819.20 : x
  2. Step 2: Convert to fraction form
    275,279.60/413,162.40 = 162,819.20/x
  3. Step 3: Cross multiply
    275,279.60x = 413,162.40 × 162,819.20
  4. Step 4: Simplify right side
    275,279.60x = 67,270,771,438.08
  5. Step 5: Solve for x
    x = 67,270,771,438.08/275,279.60
  6. Step 6: Final answer
    x = 244,372.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.