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Finding the Fourth Proportional to 275,679.72, 413,209.64 and 140,363.96

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Solution

The fourth proportional to 275,679.72, 413,209.64 and 140,363.96 is: 210,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,679.72 : 413,209.64 = 140,363.96 : x
  2. Step 2: Convert to fraction form
    275,679.72/413,209.64 = 140,363.96/x
  3. Step 3: Cross multiply
    275,679.72x = 413,209.64 × 140,363.96
  4. Step 4: Simplify right side
    275,679.72x = 57,999,741,711.78
  5. Step 5: Solve for x
    x = 57,999,741,711.78/275,679.72
  6. Step 6: Final answer
    x = 210,388.13

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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.