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Finding the Fourth Proportional to 266,996.88, 400,456.44 and 100,746

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Solution

The fourth proportional to 266,996.88, 400,456.44 and 100,746 is: 151,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,996.88 : 400,456.44 = 100,746 : x
  2. Step 2: Convert to fraction form
    266,996.88/400,456.44 = 100,746/x
  3. Step 3: Cross multiply
    266,996.88x = 400,456.44 × 100,746
  4. Step 4: Simplify right side
    266,996.88x = 40,344,384,504.24
  5. Step 5: Solve for x
    x = 40,344,384,504.24/266,996.88
  6. Step 6: Final answer
    x = 151,104.33

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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.