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Finding the Fourth Proportional to 400,266.12, 600,399.12 and 189,789.24

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Solution

The fourth proportional to 400,266.12, 600,399.12 and 189,789.24 is: 284,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,266.12 : 600,399.12 = 189,789.24 : x
  2. Step 2: Convert to fraction form
    400,266.12/600,399.12 = 189,789.24/x
  3. Step 3: Cross multiply
    400,266.12x = 600,399.12 × 189,789.24
  4. Step 4: Simplify right side
    400,266.12x = 113,949,292,681.47
  5. Step 5: Solve for x
    x = 113,949,292,681.47/400,266.12
  6. Step 6: Final answer
    x = 284,683.83

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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.