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Finding the Fourth Proportional to 442,920.40, 664,477.80 and 143,414.80

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Solution

The fourth proportional to 442,920.40, 664,477.80 and 143,414.80 is: 215,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920.40 : 664,477.80 = 143,414.80 : x
  2. Step 2: Convert to fraction form
    442,920.40/664,477.80 = 143,414.80/x
  3. Step 3: Cross multiply
    442,920.40x = 664,477.80 × 143,414.80
  4. Step 4: Simplify right side
    442,920.40x = 95,295,950,791.44
  5. Step 5: Solve for x
    x = 95,295,950,791.44/442,920.40
  6. Step 6: Final answer
    x = 215,153.67

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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.