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Finding the Fourth Proportional to 422,469.20, 633,745.20 and 122,952.80

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Solution

The fourth proportional to 422,469.20, 633,745.20 and 122,952.80 is: 184,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,469.20 : 633,745.20 = 122,952.80 : x
  2. Step 2: Convert to fraction form
    422,469.20/633,745.20 = 122,952.80/x
  3. Step 3: Cross multiply
    422,469.20x = 633,745.20 × 122,952.80
  4. Step 4: Simplify right side
    422,469.20x = 77,920,746,826.56
  5. Step 5: Solve for x
    x = 77,920,746,826.56/422,469.20
  6. Step 6: Final answer
    x = 184,441.25

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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.