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Finding the Fourth Proportional to 259,308.15, 389,253.83 and 200,404.95

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Solution

The fourth proportional to 259,308.15, 389,253.83 and 200,404.95 is: 300,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,308.15 : 389,253.83 = 200,404.95 : x
  2. Step 2: Convert to fraction form
    259,308.15/389,253.83 = 200,404.95/x
  3. Step 3: Cross multiply
    259,308.15x = 389,253.83 × 200,404.95
  4. Step 4: Simplify right side
    259,308.15x = 78,008,393,336.43
  5. Step 5: Solve for x
    x = 78,008,393,336.43/259,308.15
  6. Step 6: Final answer
    x = 300,832.79

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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.