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Finding the Fourth Proportional to 259,364.94, 389,047.42 and 200,286.78

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Solution

The fourth proportional to 259,364.94, 389,047.42 and 200,286.78 is: 300,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,364.94 : 389,047.42 = 200,286.78 : x
  2. Step 2: Convert to fraction form
    259,364.94/389,047.42 = 200,286.78/x
  3. Step 3: Cross multiply
    259,364.94x = 389,047.42 × 200,286.78
  4. Step 4: Simplify right side
    259,364.94x = 77,921,055,019.11
  5. Step 5: Solve for x
    x = 77,921,055,019.11/259,364.94
  6. Step 6: Final answer
    x = 300,430.18

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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.