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Finding the Fourth Proportional to 200,216.90, 300,321.81 and 50,453.84

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Solution

The fourth proportional to 200,216.90, 300,321.81 and 50,453.84 is: 75,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,216.90 : 300,321.81 = 50,453.84 : x
  2. Step 2: Convert to fraction form
    200,216.90/300,321.81 = 50,453.84/x
  3. Step 3: Cross multiply
    200,216.90x = 300,321.81 × 50,453.84
  4. Step 4: Simplify right side
    200,216.90x = 15,152,389,301.05
  5. Step 5: Solve for x
    x = 15,152,389,301.05/200,216.90
  6. Step 6: Final answer
    x = 75,679.87

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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.