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Finding the Fourth Proportional to 422,452.90, 633,471.99 and 208,974.16

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Solution

The fourth proportional to 422,452.90, 633,471.99 and 208,974.16 is: 313,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,452.90 : 633,471.99 = 208,974.16 : x
  2. Step 2: Convert to fraction form
    422,452.90/633,471.99 = 208,974.16/x
  3. Step 3: Cross multiply
    422,452.90x = 633,471.99 × 208,974.16
  4. Step 4: Simplify right side
    422,452.90x = 132,379,276,993.78
  5. Step 5: Solve for x
    x = 132,379,276,993.78/422,452.90
  6. Step 6: Final answer
    x = 313,358.67

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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.