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Finding the Fourth Proportional to 259,293.15, 389,231.33 and 200,389.95

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Solution

The fourth proportional to 259,293.15, 389,231.33 and 200,389.95 is: 300,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,293.15 : 389,231.33 = 200,389.95 : x
  2. Step 2: Convert to fraction form
    259,293.15/389,231.33 = 200,389.95/x
  3. Step 3: Cross multiply
    259,293.15x = 389,231.33 × 200,389.95
  4. Step 4: Simplify right side
    259,293.15x = 77,998,045,755.18
  5. Step 5: Solve for x
    x = 77,998,045,755.18/259,293.15
  6. Step 6: Final answer
    x = 300,810.28

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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.