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Finding the Fourth Proportional to 422,738.32, 634,129.78 and 107,197.96

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Solution

The fourth proportional to 422,738.32, 634,129.78 and 107,197.96 is: 160,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,738.32 : 634,129.78 = 107,197.96 : x
  2. Step 2: Convert to fraction form
    422,738.32/634,129.78 = 107,197.96/x
  3. Step 3: Cross multiply
    422,738.32x = 634,129.78 × 107,197.96
  4. Step 4: Simplify right side
    422,738.32x = 67,977,418,791.25
  5. Step 5: Solve for x
    x = 67,977,418,791.25/422,738.32
  6. Step 6: Final answer
    x = 160,802.59

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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.