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Finding the Fourth Proportional to 442,906.40, 663,679.20 and 330,057.20

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Solution

The fourth proportional to 442,906.40, 663,679.20 and 330,057.20 is: 494,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.40 : 663,679.20 = 330,057.20 : x
  2. Step 2: Convert to fraction form
    442,906.40/663,679.20 = 330,057.20/x
  3. Step 3: Cross multiply
    442,906.40x = 663,679.20 × 330,057.20
  4. Step 4: Simplify right side
    442,906.40x = 219,052,098,450.24
  5. Step 5: Solve for x
    x = 219,052,098,450.24/442,906.40
  6. Step 6: Final answer
    x = 494,578.76

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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.