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Finding the Fourth Proportional to 275,419.20, 414,003.60 and 259,672.80

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Solution

The fourth proportional to 275,419.20, 414,003.60 and 259,672.80 is: 390,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,419.20 : 414,003.60 = 259,672.80 : x
  2. Step 2: Convert to fraction form
    275,419.20/414,003.60 = 259,672.80/x
  3. Step 3: Cross multiply
    275,419.20x = 414,003.60 × 259,672.80
  4. Step 4: Simplify right side
    275,419.20x = 107,505,474,022.08
  5. Step 5: Solve for x
    x = 107,505,474,022.08/275,419.20
  6. Step 6: Final answer
    x = 390,333.99

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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.