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Finding the Fourth Proportional to 259,364.20, 389,046.30 and 206,876.20

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Solution

The fourth proportional to 259,364.20, 389,046.30 and 206,876.20 is: 310,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,364.20 : 389,046.30 = 206,876.20 : x
  2. Step 2: Convert to fraction form
    259,364.20/389,046.30 = 206,876.20/x
  3. Step 3: Cross multiply
    259,364.20x = 389,046.30 × 206,876.20
  4. Step 4: Simplify right side
    259,364.20x = 80,484,420,168.06
  5. Step 5: Solve for x
    x = 80,484,420,168.06/259,364.20
  6. Step 6: Final answer
    x = 310,314.30

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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.