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Finding the Fourth Proportional to 422,739.32, 634,131.28 and 107,198.96

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Solution

The fourth proportional to 422,739.32, 634,131.28 and 107,198.96 is: 160,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,739.32 : 634,131.28 = 107,198.96 : x
  2. Step 2: Convert to fraction form
    422,739.32/634,131.28 = 107,198.96/x
  3. Step 3: Cross multiply
    422,739.32x = 634,131.28 × 107,198.96
  4. Step 4: Simplify right side
    422,739.32x = 67,978,213,719.47
  5. Step 5: Solve for x
    x = 67,978,213,719.47/422,739.32
  6. Step 6: Final answer
    x = 160,804.09

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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.