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Finding the Fourth Proportional to 284,372.87, 426,558.09 and 115,855.61

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Solution

The fourth proportional to 284,372.87, 426,558.09 and 115,855.61 is: 173,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,372.87 : 426,558.09 = 115,855.61 : x
  2. Step 2: Convert to fraction form
    284,372.87/426,558.09 = 115,855.61/x
  3. Step 3: Cross multiply
    284,372.87x = 426,558.09 × 115,855.61
  4. Step 4: Simplify right side
    284,372.87x = 49,419,147,717.38
  5. Step 5: Solve for x
    x = 49,419,147,717.38/284,372.87
  6. Step 6: Final answer
    x = 173,782.92

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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.