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Finding the Fourth Proportional to 259,378.20, 388,411.20 and 206,890.20

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Solution

The fourth proportional to 259,378.20, 388,411.20 and 206,890.20 is: 309,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,378.20 : 388,411.20 = 206,890.20 : x
  2. Step 2: Convert to fraction form
    259,378.20/388,411.20 = 206,890.20/x
  3. Step 3: Cross multiply
    259,378.20x = 388,411.20 × 206,890.20
  4. Step 4: Simplify right side
    259,378.20x = 80,358,470,850.24
  5. Step 5: Solve for x
    x = 80,358,470,850.24/259,378.20
  6. Step 6: Final answer
    x = 309,811.97

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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.