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Finding the Fourth Proportional to 259,271.20, 388,906.80 and 206,783.20

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Solution

The fourth proportional to 259,271.20, 388,906.80 and 206,783.20 is: 310,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,271.20 : 388,906.80 = 206,783.20 : x
  2. Step 2: Convert to fraction form
    259,271.20/388,906.80 = 206,783.20/x
  3. Step 3: Cross multiply
    259,271.20x = 388,906.80 × 206,783.20
  4. Step 4: Simplify right side
    259,271.20x = 80,419,392,605.76
  5. Step 5: Solve for x
    x = 80,419,392,605.76/259,271.20
  6. Step 6: Final answer
    x = 310,174.80

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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.