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Finding the Fourth Proportional to 494,782.70, 682,864.43 and 277,074.26

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Solution

The fourth proportional to 494,782.70, 682,864.43 and 277,074.26 is: 382,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,782.70 : 682,864.43 = 277,074.26 : x
  2. Step 2: Convert to fraction form
    494,782.70/682,864.43 = 277,074.26/x
  3. Step 3: Cross multiply
    494,782.70x = 682,864.43 × 277,074.26
  4. Step 4: Simplify right side
    494,782.70x = 189,204,151,822.88
  5. Step 5: Solve for x
    x = 189,204,151,822.88/494,782.70
  6. Step 6: Final answer
    x = 382,398.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.