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Finding the Fourth Proportional to 1,067,761.85, 1,471,978.88 and 761,306.65

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Solution

The fourth proportional to 1,067,761.85, 1,471,978.88 and 761,306.65 is: 1,049,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,761.85 : 1,471,978.88 = 761,306.65 : x
  2. Step 2: Convert to fraction form
    1,067,761.85/1,471,978.88 = 761,306.65/x
  3. Step 3: Cross multiply
    1,067,761.85x = 1,471,978.88 × 761,306.65
  4. Step 4: Simplify right side
    1,067,761.85x = 1,120,627,305,371.97
  5. Step 5: Solve for x
    x = 1,120,627,305,371.97/1,067,761.85
  6. Step 6: Final answer
    x = 1,049,510.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.