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Finding the Fourth Proportional to 415,067.36, 622,539.05 and 115,516.71

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Solution

The fourth proportional to 415,067.36, 622,539.05 and 115,516.71 is: 173,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.36 : 622,539.05 = 115,516.71 : x
  2. Step 2: Convert to fraction form
    415,067.36/622,539.05 = 115,516.71/x
  3. Step 3: Cross multiply
    415,067.36x = 622,539.05 × 115,516.71
  4. Step 4: Simplify right side
    415,067.36x = 71,913,662,324.94
  5. Step 5: Solve for x
    x = 71,913,662,324.94/415,067.36
  6. Step 6: Final answer
    x = 173,257.81

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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.