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Finding the Fourth Proportional to 422,185.77, 633,279.94 and 102,336.37

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Solution

The fourth proportional to 422,185.77, 633,279.94 and 102,336.37 is: 153,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,185.77 : 633,279.94 = 102,336.37 : x
  2. Step 2: Convert to fraction form
    422,185.77/633,279.94 = 102,336.37/x
  3. Step 3: Cross multiply
    422,185.77x = 633,279.94 × 102,336.37
  4. Step 4: Simplify right side
    422,185.77x = 64,807,568,414.38
  5. Step 5: Solve for x
    x = 64,807,568,414.38/422,185.77
  6. Step 6: Final answer
    x = 153,504.86

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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.