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Finding the Fourth Proportional to 453,843.60, 680,765.40 and 419,629.20

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Solution

The fourth proportional to 453,843.60, 680,765.40 and 419,629.20 is: 629,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,843.60 : 680,765.40 = 419,629.20 : x
  2. Step 2: Convert to fraction form
    453,843.60/680,765.40 = 419,629.20/x
  3. Step 3: Cross multiply
    453,843.60x = 680,765.40 × 419,629.20
  4. Step 4: Simplify right side
    453,843.60x = 285,669,040,189.68
  5. Step 5: Solve for x
    x = 285,669,040,189.68/453,843.60
  6. Step 6: Final answer
    x = 629,443.80

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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.