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Finding the Fourth Proportional to 574,263, 861,401.79 and 200,286

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Solution

The fourth proportional to 574,263, 861,401.79 and 200,286 is: 300,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,263 : 861,401.79 = 200,286 : x
  2. Step 2: Convert to fraction form
    574,263/861,401.79 = 200,286/x
  3. Step 3: Cross multiply
    574,263x = 861,401.79 × 200,286
  4. Step 4: Simplify right side
    574,263x = 172,526,718,911.94
  5. Step 5: Solve for x
    x = 172,526,718,911.94/574,263
  6. Step 6: Final answer
    x = 300,431.54

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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.