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Finding the Fourth Proportional to 200,282.28, 300,415.56 and 50,520.60

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Solution

The fourth proportional to 200,282.28, 300,415.56 and 50,520.60 is: 75,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,282.28 : 300,415.56 = 50,520.60 : x
  2. Step 2: Convert to fraction form
    200,282.28/300,415.56 = 50,520.60/x
  3. Step 3: Cross multiply
    200,282.28x = 300,415.56 × 50,520.60
  4. Step 4: Simplify right side
    200,282.28x = 15,177,174,340.54
  5. Step 5: Solve for x
    x = 15,177,174,340.54/200,282.28
  6. Step 6: Final answer
    x = 75,778.92

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1.5x scale

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.