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Finding the Fourth Proportional to 284,745.04, 427,121.70 and 74,383

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Solution

The fourth proportional to 284,745.04, 427,121.70 and 74,383 is: 111,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745.04 : 427,121.70 = 74,383 : x
  2. Step 2: Convert to fraction form
    284,745.04/427,121.70 = 74,383/x
  3. Step 3: Cross multiply
    284,745.04x = 427,121.70 × 74,383
  4. Step 4: Simplify right side
    284,745.04x = 31,770,593,411.10
  5. Step 5: Solve for x
    x = 31,770,593,411.10/284,745.04
  6. Step 6: Final answer
    x = 111,575.58

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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.