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Finding the Fourth Proportional to 394,009.44, 591,072.48 and 144,672

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Solution

The fourth proportional to 394,009.44, 591,072.48 and 144,672 is: 217,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,009.44 : 591,072.48 = 144,672 : x
  2. Step 2: Convert to fraction form
    394,009.44/591,072.48 = 144,672/x
  3. Step 3: Cross multiply
    394,009.44x = 591,072.48 × 144,672
  4. Step 4: Simplify right side
    394,009.44x = 85,511,637,826.56
  5. Step 5: Solve for x
    x = 85,511,637,826.56/394,009.44
  6. Step 6: Final answer
    x = 217,029.41

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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.