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Finding the Fourth Proportional to 422,832.73, 634,342.40 and 123,336.75

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Solution

The fourth proportional to 422,832.73, 634,342.40 and 123,336.75 is: 185,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,832.73 : 634,342.40 = 123,336.75 : x
  2. Step 2: Convert to fraction form
    422,832.73/634,342.40 = 123,336.75/x
  3. Step 3: Cross multiply
    422,832.73x = 634,342.40 × 123,336.75
  4. Step 4: Simplify right side
    422,832.73x = 78,237,730,003.20
  5. Step 5: Solve for x
    x = 78,237,730,003.20/422,832.73
  6. Step 6: Final answer
    x = 185,032.34

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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.