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Finding the Fourth Proportional to 442,820.20, 664,230.30 and 218,215.30

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Solution

The fourth proportional to 442,820.20, 664,230.30 and 218,215.30 is: 327,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,820.20 : 664,230.30 = 218,215.30 : x
  2. Step 2: Convert to fraction form
    442,820.20/664,230.30 = 218,215.30/x
  3. Step 3: Cross multiply
    442,820.20x = 664,230.30 × 218,215.30
  4. Step 4: Simplify right side
    442,820.20x = 144,945,214,183.59
  5. Step 5: Solve for x
    x = 144,945,214,183.59/442,820.20
  6. Step 6: Final answer
    x = 327,322.95

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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.