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Finding the Fourth Proportional to 400,655.20, 600,109.44 and 200,626.72

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Solution

The fourth proportional to 400,655.20, 600,109.44 and 200,626.72 is: 300,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,655.20 : 600,109.44 = 200,626.72 : x
  2. Step 2: Convert to fraction form
    400,655.20/600,109.44 = 200,626.72/x
  3. Step 3: Cross multiply
    400,655.20x = 600,109.44 × 200,626.72
  4. Step 4: Simplify right side
    400,655.20x = 120,397,988,588.24
  5. Step 5: Solve for x
    x = 120,397,988,588.24/400,655.20
  6. Step 6: Final answer
    x = 300,502.75

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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.