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Finding the Fourth Proportional to 270,198.72, 405,321.84 and 70,517.52

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Solution

The fourth proportional to 270,198.72, 405,321.84 and 70,517.52 is: 105,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198.72 : 405,321.84 = 70,517.52 : x
  2. Step 2: Convert to fraction form
    270,198.72/405,321.84 = 70,517.52/x
  3. Step 3: Cross multiply
    270,198.72x = 405,321.84 × 70,517.52
  4. Step 4: Simplify right side
    270,198.72x = 28,582,290,958.64
  5. Step 5: Solve for x
    x = 28,582,290,958.64/270,198.72
  6. Step 6: Final answer
    x = 105,782.48

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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.