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Finding the Fourth Proportional to 1,981,227.22, 2,969,766.61 and 829,133.86

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Solution

The fourth proportional to 1,981,227.22, 2,969,766.61 and 829,133.86 is: 1,242,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981,227.22 : 2,969,766.61 = 829,133.86 : x
  2. Step 2: Convert to fraction form
    1,981,227.22/2,969,766.61 = 829,133.86/x
  3. Step 3: Cross multiply
    1,981,227.22x = 2,969,766.61 × 829,133.86
  4. Step 4: Simplify right side
    1,981,227.22x = 2,462,334,052,648.41
  5. Step 5: Solve for x
    x = 2,462,334,052,648.41/1,981,227.22
  6. Step 6: Final answer
    x = 1,242,832.74

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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.