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Finding the Fourth Proportional to 284,843.40, 427,289.49 and 74,481

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Solution

The fourth proportional to 284,843.40, 427,289.49 and 74,481 is: 111,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,843.40 : 427,289.49 = 74,481 : x
  2. Step 2: Convert to fraction form
    284,843.40/427,289.49 = 74,481/x
  3. Step 3: Cross multiply
    284,843.40x = 427,289.49 × 74,481
  4. Step 4: Simplify right side
    284,843.40x = 31,824,948,504.69
  5. Step 5: Solve for x
    x = 31,824,948,504.69/284,843.40
  6. Step 6: Final answer
    x = 111,727.88

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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.