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Finding the Fourth Proportional to 275,786.80, 413,777.40 and 266,066.80

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Solution

The fourth proportional to 275,786.80, 413,777.40 and 266,066.80 is: 399,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,786.80 : 413,777.40 = 266,066.80 : x
  2. Step 2: Convert to fraction form
    275,786.80/413,777.40 = 266,066.80/x
  3. Step 3: Cross multiply
    275,786.80x = 413,777.40 × 266,066.80
  4. Step 4: Simplify right side
    275,786.80x = 110,092,428,730.32
  5. Step 5: Solve for x
    x = 110,092,428,730.32/275,786.80
  6. Step 6: Final answer
    x = 399,193.97

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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.