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Finding the Fourth Proportional to 284,634.11, 427,021.25 and 200,558.48

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Solution

The fourth proportional to 284,634.11, 427,021.25 and 200,558.48 is: 300,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,634.11 : 427,021.25 = 200,558.48 : x
  2. Step 2: Convert to fraction form
    284,634.11/427,021.25 = 200,558.48/x
  3. Step 3: Cross multiply
    284,634.11x = 427,021.25 × 200,558.48
  4. Step 4: Simplify right side
    284,634.11x = 85,642,729,689.80
  5. Step 5: Solve for x
    x = 85,642,729,689.80/284,634.11
  6. Step 6: Final answer
    x = 300,887.09

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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.