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Finding the Fourth Proportional to 284,845.82, 427,268.72 and 74,481.93

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Solution

The fourth proportional to 284,845.82, 427,268.72 and 74,481.93 is: 111,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,845.82 : 427,268.72 = 74,481.93 : x
  2. Step 2: Convert to fraction form
    284,845.82/427,268.72 = 74,481.93/x
  3. Step 3: Cross multiply
    284,845.82x = 427,268.72 × 74,481.93
  4. Step 4: Simplify right side
    284,845.82x = 31,823,799,080.43
  5. Step 5: Solve for x
    x = 31,823,799,080.43/284,845.82
  6. Step 6: Final answer
    x = 111,722.90

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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.