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Finding the Fourth Proportional to 209,286.78, 313,585.11 and 120,614.82

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Solution

The fourth proportional to 209,286.78, 313,585.11 and 120,614.82 is: 180,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.78 : 313,585.11 = 120,614.82 : x
  2. Step 2: Convert to fraction form
    209,286.78/313,585.11 = 120,614.82/x
  3. Step 3: Cross multiply
    209,286.78x = 313,585.11 × 120,614.82
  4. Step 4: Simplify right side
    209,286.78x = 37,823,011,597.33
  5. Step 5: Solve for x
    x = 37,823,011,597.33/209,286.78
  6. Step 6: Final answer
    x = 180,723.37

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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.