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Finding the Fourth Proportional to 259,763.40, 389,616.30 and 212,934.60

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Solution

The fourth proportional to 259,763.40, 389,616.30 and 212,934.60 is: 319,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,763.40 : 389,616.30 = 212,934.60 : x
  2. Step 2: Convert to fraction form
    259,763.40/389,616.30 = 212,934.60/x
  3. Step 3: Cross multiply
    259,763.40x = 389,616.30 × 212,934.60
  4. Step 4: Simplify right side
    259,763.40x = 82,962,790,993.98
  5. Step 5: Solve for x
    x = 82,962,790,993.98/259,763.40
  6. Step 6: Final answer
    x = 319,378.29

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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.