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Finding the Fourth Proportional to 494,787.70, 682,871.32 and 277,079.26

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Solution

The fourth proportional to 494,787.70, 682,871.32 and 277,079.26 is: 382,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,787.70 : 682,871.32 = 277,079.26 : x
  2. Step 2: Convert to fraction form
    494,787.70/682,871.32 = 277,079.26/x
  3. Step 3: Cross multiply
    494,787.70x = 682,871.32 × 277,079.26
  4. Step 4: Simplify right side
    494,787.70x = 189,209,480,020.82
  5. Step 5: Solve for x
    x = 189,209,480,020.82/494,787.70
  6. Step 6: Final answer
    x = 382,405.38

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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.