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Finding the Fourth Proportional to 259,346.40, 389,311.20 and 200,443.20

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Solution

The fourth proportional to 259,346.40, 389,311.20 and 200,443.20 is: 300,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,346.40 : 389,311.20 = 200,443.20 : x
  2. Step 2: Convert to fraction form
    259,346.40/389,311.20 = 200,443.20/x
  3. Step 3: Cross multiply
    259,346.40x = 389,311.20 × 200,443.20
  4. Step 4: Simplify right side
    259,346.40x = 78,034,782,723.84
  5. Step 5: Solve for x
    x = 78,034,782,723.84/259,346.40
  6. Step 6: Final answer
    x = 300,890.17

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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.