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Finding the Fourth Proportional to 494,406.61, 682,294.57 and 279,578.81

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Solution

The fourth proportional to 494,406.61, 682,294.57 and 279,578.81 is: 385,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,406.61 : 682,294.57 = 279,578.81 : x
  2. Step 2: Convert to fraction form
    494,406.61/682,294.57 = 279,578.81/x
  3. Step 3: Cross multiply
    494,406.61x = 682,294.57 × 279,578.81
  4. Step 4: Simplify right side
    494,406.61x = 190,755,104,956.85
  5. Step 5: Solve for x
    x = 190,755,104,956.85/494,406.61
  6. Step 6: Final answer
    x = 385,826.37

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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.