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Finding the Fourth Proportional to 400,396.80, 600,449.40 and 200,650.80

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Solution

The fourth proportional to 400,396.80, 600,449.40 and 200,650.80 is: 300,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,396.80 : 600,449.40 = 200,650.80 : x
  2. Step 2: Convert to fraction form
    400,396.80/600,449.40 = 200,650.80/x
  3. Step 3: Cross multiply
    400,396.80x = 600,449.40 × 200,650.80
  4. Step 4: Simplify right side
    400,396.80x = 120,480,652,469.52
  5. Step 5: Solve for x
    x = 120,480,652,469.52/400,396.80
  6. Step 6: Final answer
    x = 300,903.14

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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.