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Finding the Fourth Proportional to 259,711.20, 388,910.70 and 207,223.20

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Solution

The fourth proportional to 259,711.20, 388,910.70 and 207,223.20 is: 310,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,711.20 : 388,910.70 = 207,223.20 : x
  2. Step 2: Convert to fraction form
    259,711.20/388,910.70 = 207,223.20/x
  3. Step 3: Cross multiply
    259,711.20x = 388,910.70 × 207,223.20
  4. Step 4: Simplify right side
    259,711.20x = 80,591,319,768.24
  5. Step 5: Solve for x
    x = 80,591,319,768.24/259,711.20
  6. Step 6: Final answer
    x = 310,311.30

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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.