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Finding the Fourth Proportional to 259,589.40, 389,384.10 and 200,540.40

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Solution

The fourth proportional to 259,589.40, 389,384.10 and 200,540.40 is: 300,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,589.40 : 389,384.10 = 200,540.40 : x
  2. Step 2: Convert to fraction form
    259,589.40/389,384.10 = 200,540.40/x
  3. Step 3: Cross multiply
    259,589.40x = 389,384.10 × 200,540.40
  4. Step 4: Simplify right side
    259,589.40x = 78,087,243,167.64
  5. Step 5: Solve for x
    x = 78,087,243,167.64/259,589.40
  6. Step 6: Final answer
    x = 300,810.60

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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.