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Finding the Fourth Proportional to 442,900.40, 664,447.80 and 143,394.80

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Solution

The fourth proportional to 442,900.40, 664,447.80 and 143,394.80 is: 215,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,900.40 : 664,447.80 = 143,394.80 : x
  2. Step 2: Convert to fraction form
    442,900.40/664,447.80 = 143,394.80/x
  3. Step 3: Cross multiply
    442,900.40x = 664,447.80 × 143,394.80
  4. Step 4: Simplify right side
    442,900.40x = 95,278,359,391.44
  5. Step 5: Solve for x
    x = 95,278,359,391.44/442,900.40
  6. Step 6: Final answer
    x = 215,123.67

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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.