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Finding the Fourth Proportional to 494,761.50, 682,771.14 and 268,407

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Solution

The fourth proportional to 494,761.50, 682,771.14 and 268,407 is: 370,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,761.50 : 682,771.14 = 268,407 : x
  2. Step 2: Convert to fraction form
    494,761.50/682,771.14 = 268,407/x
  3. Step 3: Cross multiply
    494,761.50x = 682,771.14 × 268,407
  4. Step 4: Simplify right side
    494,761.50x = 183,260,553,373.98
  5. Step 5: Solve for x
    x = 183,260,553,373.98/494,761.50
  6. Step 6: Final answer
    x = 370,401.81

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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.