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Finding the Fourth Proportional to 259,861.40, 389,208.90 and 213,205.40

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Solution

The fourth proportional to 259,861.40, 389,208.90 and 213,205.40 is: 319,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,861.40 : 389,208.90 = 213,205.40 : x
  2. Step 2: Convert to fraction form
    259,861.40/389,208.90 = 213,205.40/x
  3. Step 3: Cross multiply
    259,861.40x = 389,208.90 × 213,205.40
  4. Step 4: Simplify right side
    259,861.40x = 82,981,439,208.06
  5. Step 5: Solve for x
    x = 82,981,439,208.06/259,861.40
  6. Step 6: Final answer
    x = 319,329.61

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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.