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Finding the Fourth Proportional to 275,764.80, 413,744.40 and 266,044.80

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Solution

The fourth proportional to 275,764.80, 413,744.40 and 266,044.80 is: 399,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,764.80 : 413,744.40 = 266,044.80 : x
  2. Step 2: Convert to fraction form
    275,764.80/413,744.40 = 266,044.80/x
  3. Step 3: Cross multiply
    275,764.80x = 413,744.40 × 266,044.80
  4. Step 4: Simplify right side
    275,764.80x = 110,074,546,149.12
  5. Step 5: Solve for x
    x = 110,074,546,149.12/275,764.80
  6. Step 6: Final answer
    x = 399,160.97

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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.