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Finding the Fourth Proportional to 284,858.88, 427,255.68 and 74,517.12

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Solution

The fourth proportional to 284,858.88, 427,255.68 and 74,517.12 is: 111,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858.88 : 427,255.68 = 74,517.12 : x
  2. Step 2: Convert to fraction form
    284,858.88/427,255.68 = 74,517.12/x
  3. Step 3: Cross multiply
    284,858.88x = 427,255.68 × 74,517.12
  4. Step 4: Simplify right side
    284,858.88x = 31,837,862,777.24
  5. Step 5: Solve for x
    x = 31,837,862,777.24/284,858.88
  6. Step 6: Final answer
    x = 111,767.14

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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.