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Finding the Fourth Proportional to 307,138.71, 460,773.68 and 107,465.61

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Solution

The fourth proportional to 307,138.71, 460,773.68 and 107,465.61 is: 161,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,138.71 : 460,773.68 = 107,465.61 : x
  2. Step 2: Convert to fraction form
    307,138.71/460,773.68 = 107,465.61/x
  3. Step 3: Cross multiply
    307,138.71x = 460,773.68 × 107,465.61
  4. Step 4: Simplify right side
    307,138.71x = 49,517,324,593.14
  5. Step 5: Solve for x
    x = 49,517,324,593.14/307,138.71
  6. Step 6: Final answer
    x = 161,221.37

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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.