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Finding the Fourth Proportional to 422,724.48, 634,081.31 and 102,876.90

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Solution

The fourth proportional to 422,724.48, 634,081.31 and 102,876.90 is: 154,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,724.48 : 634,081.31 = 102,876.90 : x
  2. Step 2: Convert to fraction form
    422,724.48/634,081.31 = 102,876.90/x
  3. Step 3: Cross multiply
    422,724.48x = 634,081.31 × 102,876.90
  4. Step 4: Simplify right side
    422,724.48x = 65,232,316,350.33
  5. Step 5: Solve for x
    x = 65,232,316,350.33/422,724.48
  6. Step 6: Final answer
    x = 154,314.03

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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.