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Finding the Fourth Proportional to 300,069.22, 414,246.10 and 231,932.21

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Solution

The fourth proportional to 300,069.22, 414,246.10 and 231,932.21 is: 320,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,069.22 : 414,246.10 = 231,932.21 : x
  2. Step 2: Convert to fraction form
    300,069.22/414,246.10 = 231,932.21/x
  3. Step 3: Cross multiply
    300,069.22x = 414,246.10 × 231,932.21
  4. Step 4: Simplify right side
    300,069.22x = 96,077,013,456.88
  5. Step 5: Solve for x
    x = 96,077,013,456.88/300,069.22
  6. Step 6: Final answer
    x = 320,182.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.