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Finding the Fourth Proportional to 307,286.87, 461,138.67 and 107,608.91

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Solution

The fourth proportional to 307,286.87, 461,138.67 and 107,608.91 is: 161,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,286.87 : 461,138.67 = 107,608.91 : x
  2. Step 2: Convert to fraction form
    307,286.87/461,138.67 = 107,608.91/x
  3. Step 3: Cross multiply
    307,286.87x = 461,138.67 × 107,608.91
  4. Step 4: Simplify right side
    307,286.87x = 49,622,627,331.86
  5. Step 5: Solve for x
    x = 49,622,627,331.86/307,286.87
  6. Step 6: Final answer
    x = 161,486.33

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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.