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Finding the Fourth Proportional to 422,788.95, 633,338.43 and 254,216.97

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Solution

The fourth proportional to 422,788.95, 633,338.43 and 254,216.97 is: 380,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,788.95 : 633,338.43 = 254,216.97 : x
  2. Step 2: Convert to fraction form
    422,788.95/633,338.43 = 254,216.97/x
  3. Step 3: Cross multiply
    422,788.95x = 633,338.43 × 254,216.97
  4. Step 4: Simplify right side
    422,788.95x = 161,005,376,659.16
  5. Step 5: Solve for x
    x = 161,005,376,659.16/422,788.95
  6. Step 6: Final answer
    x = 380,817.37

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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.