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Finding the Fourth Proportional to 422,004.15, 632,906.87 and 122,405.67

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Solution

The fourth proportional to 422,004.15, 632,906.87 and 122,405.67 is: 183,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,004.15 : 632,906.87 = 122,405.67 : x
  2. Step 2: Convert to fraction form
    422,004.15/632,906.87 = 122,405.67/x
  3. Step 3: Cross multiply
    422,004.15x = 632,906.87 × 122,405.67
  4. Step 4: Simplify right side
    422,004.15x = 77,471,388,857.92
  5. Step 5: Solve for x
    x = 77,471,388,857.92/422,004.15
  6. Step 6: Final answer
    x = 183,579.68

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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.