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Finding the Fourth Proportional to 275,843.40, 413,765.10 and 109,631.40

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Solution

The fourth proportional to 275,843.40, 413,765.10 and 109,631.40 is: 164,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,843.40 : 413,765.10 = 109,631.40 : x
  2. Step 2: Convert to fraction form
    275,843.40/413,765.10 = 109,631.40/x
  3. Step 3: Cross multiply
    275,843.40x = 413,765.10 × 109,631.40
  4. Step 4: Simplify right side
    275,843.40x = 45,361,647,184.14
  5. Step 5: Solve for x
    x = 45,361,647,184.14/275,843.40
  6. Step 6: Final answer
    x = 164,447.10

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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.