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Finding the Fourth Proportional to 1,217,481.22, 1,826,470.91 and 418,658.98

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Solution

The fourth proportional to 1,217,481.22, 1,826,470.91 and 418,658.98 is: 628,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,481.22 : 1,826,470.91 = 418,658.98 : x
  2. Step 2: Convert to fraction form
    1,217,481.22/1,826,470.91 = 418,658.98/x
  3. Step 3: Cross multiply
    1,217,481.22x = 1,826,470.91 × 418,658.98
  4. Step 4: Simplify right side
    1,217,481.22x = 764,668,448,180.27
  5. Step 5: Solve for x
    x = 764,668,448,180.27/1,217,481.22
  6. Step 6: Final answer
    x = 628,074.12

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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.