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Finding the Fourth Proportional to 415,163.52, 622,745.70 and 115,644.72

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Solution

The fourth proportional to 415,163.52, 622,745.70 and 115,644.72 is: 173,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,163.52 : 622,745.70 = 115,644.72 : x
  2. Step 2: Convert to fraction form
    415,163.52/622,745.70 = 115,644.72/x
  3. Step 3: Cross multiply
    415,163.52x = 622,745.70 × 115,644.72
  4. Step 4: Simplify right side
    415,163.52x = 72,017,252,107.70
  5. Step 5: Solve for x
    x = 72,017,252,107.70/415,163.52
  6. Step 6: Final answer
    x = 173,467.20

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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.