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Finding the Fourth Proportional to 394,004.44, 591,064.98 and 144,667

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Solution

The fourth proportional to 394,004.44, 591,064.98 and 144,667 is: 217,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,004.44 : 591,064.98 = 144,667 : x
  2. Step 2: Convert to fraction form
    394,004.44/591,064.98 = 144,667/x
  3. Step 3: Cross multiply
    394,004.44x = 591,064.98 × 144,667
  4. Step 4: Simplify right side
    394,004.44x = 85,507,597,461.66
  5. Step 5: Solve for x
    x = 85,507,597,461.66/394,004.44
  6. Step 6: Final answer
    x = 217,021.91

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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.