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Finding the Fourth Proportional to 1,383,281.70, 2,074,922.55 and 822,027.30

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Solution

The fourth proportional to 1,383,281.70, 2,074,922.55 and 822,027.30 is: 1,233,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,281.70 : 2,074,922.55 = 822,027.30 : x
  2. Step 2: Convert to fraction form
    1,383,281.70/2,074,922.55 = 822,027.30/x
  3. Step 3: Cross multiply
    1,383,281.70x = 2,074,922.55 × 822,027.30
  4. Step 4: Simplify right side
    1,383,281.70x = 1,705,642,981,485.62
  5. Step 5: Solve for x
    x = 1,705,642,981,485.62/1,383,281.70
  6. Step 6: Final answer
    x = 1,233,040.95

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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.