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Finding the Fourth Proportional to 259,767.20, 389,650.80 and 213,072.80

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Solution

The fourth proportional to 259,767.20, 389,650.80 and 213,072.80 is: 319,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,767.20 : 389,650.80 = 213,072.80 : x
  2. Step 2: Convert to fraction form
    259,767.20/389,650.80 = 213,072.80/x
  3. Step 3: Cross multiply
    259,767.20x = 389,650.80 × 213,072.80
  4. Step 4: Simplify right side
    259,767.20x = 83,023,986,978.24
  5. Step 5: Solve for x
    x = 83,023,986,978.24/259,767.20
  6. Step 6: Final answer
    x = 319,609.20

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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.