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Finding the Fourth Proportional to 419,314.24, 628,992.96 and 119,771.20

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Solution

The fourth proportional to 419,314.24, 628,992.96 and 119,771.20 is: 179,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,314.24 : 628,992.96 = 119,771.20 : x
  2. Step 2: Convert to fraction form
    419,314.24/628,992.96 = 119,771.20/x
  3. Step 3: Cross multiply
    419,314.24x = 628,992.96 × 119,771.20
  4. Step 4: Simplify right side
    419,314.24x = 75,335,241,610.75
  5. Step 5: Solve for x
    x = 75,335,241,610.75/419,314.24
  6. Step 6: Final answer
    x = 179,662.97

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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.