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Finding the Fourth Proportional to 494,780.43, 682,861.32 and 277,072.00

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Solution

The fourth proportional to 494,780.43, 682,861.32 and 277,072.00 is: 382,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,780.43 : 682,861.32 = 277,072.00 : x
  2. Step 2: Convert to fraction form
    494,780.43/682,861.32 = 277,072.00/x
  3. Step 3: Cross multiply
    494,780.43x = 682,861.32 × 277,072.00
  4. Step 4: Simplify right side
    494,780.43x = 189,201,749,947.89
  5. Step 5: Solve for x
    x = 189,201,749,947.89/494,780.43
  6. Step 6: Final answer
    x = 382,395.38

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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.