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Finding the Fourth Proportional to 422,006.40, 632,965.92 and 222,245.76

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Solution

The fourth proportional to 422,006.40, 632,965.92 and 222,245.76 is: 333,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,006.40 : 632,965.92 = 222,245.76 : x
  2. Step 2: Convert to fraction form
    422,006.40/632,965.92 = 222,245.76/x
  3. Step 3: Cross multiply
    422,006.40x = 632,965.92 × 222,245.76
  4. Step 4: Simplify right side
    422,006.40x = 140,673,991,944.50
  5. Step 5: Solve for x
    x = 140,673,991,944.50/422,006.40
  6. Step 6: Final answer
    x = 333,345.64

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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.