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Finding the Fourth Proportional to 300,682.28, 414,843.92 and 205,022.90

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Solution

The fourth proportional to 300,682.28, 414,843.92 and 205,022.90 is: 282,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,682.28 : 414,843.92 = 205,022.90 : x
  2. Step 2: Convert to fraction form
    300,682.28/414,843.92 = 205,022.90/x
  3. Step 3: Cross multiply
    300,682.28x = 414,843.92 × 205,022.90
  4. Step 4: Simplify right side
    300,682.28x = 85,052,503,525.77
  5. Step 5: Solve for x
    x = 85,052,503,525.77/300,682.28
  6. Step 6: Final answer
    x = 282,865.03

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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.