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Finding the Fourth Proportional to 284,789.34, 427,209.53 and 82,382.27

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Solution

The fourth proportional to 284,789.34, 427,209.53 and 82,382.27 is: 123,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,789.34 : 427,209.53 = 82,382.27 : x
  2. Step 2: Convert to fraction form
    284,789.34/427,209.53 = 82,382.27/x
  3. Step 3: Cross multiply
    284,789.34x = 427,209.53 × 82,382.27
  4. Step 4: Simplify right side
    284,789.34x = 35,194,488,299.07
  5. Step 5: Solve for x
    x = 35,194,488,299.07/284,789.34
  6. Step 6: Final answer
    x = 123,580.78

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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.