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Finding the Fourth Proportional to 422,213.85, 633,362.31 and 122,697.09

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Solution

The fourth proportional to 422,213.85, 633,362.31 and 122,697.09 is: 184,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,213.85 : 633,362.31 = 122,697.09 : x
  2. Step 2: Convert to fraction form
    422,213.85/633,362.31 = 122,697.09/x
  3. Step 3: Cross multiply
    422,213.85x = 633,362.31 × 122,697.09
  4. Step 4: Simplify right side
    422,213.85x = 77,711,712,352.68
  5. Step 5: Solve for x
    x = 77,711,712,352.68/422,213.85
  6. Step 6: Final answer
    x = 184,057.71

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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.