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Finding the Fourth Proportional to 284,372.26, 426,668.10 and 203,410.78

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Solution

The fourth proportional to 284,372.26, 426,668.10 and 203,410.78 is: 305,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,372.26 : 426,668.10 = 203,410.78 : x
  2. Step 2: Convert to fraction form
    284,372.26/426,668.10 = 203,410.78/x
  3. Step 3: Cross multiply
    284,372.26x = 426,668.10 × 203,410.78
  4. Step 4: Simplify right side
    284,372.26x = 86,788,891,022.12
  5. Step 5: Solve for x
    x = 86,788,891,022.12/284,372.26
  6. Step 6: Final answer
    x = 305,194.65

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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.