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Finding the Fourth Proportional to 394,195.83, 590,805.89 and 280,161.89

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Solution

The fourth proportional to 394,195.83, 590,805.89 and 280,161.89 is: 419,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,195.83 : 590,805.89 = 280,161.89 : x
  2. Step 2: Convert to fraction form
    394,195.83/590,805.89 = 280,161.89/x
  3. Step 3: Cross multiply
    394,195.83x = 590,805.89 × 280,161.89
  4. Step 4: Simplify right side
    394,195.83x = 165,521,292,511.91
  5. Step 5: Solve for x
    x = 165,521,292,511.91/394,195.83
  6. Step 6: Final answer
    x = 419,896.10

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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.