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Finding the Fourth Proportional to 494,278.41, 682,133.62 and 279,438.47

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Solution

The fourth proportional to 494,278.41, 682,133.62 and 279,438.47 is: 385,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,278.41 : 682,133.62 = 279,438.47 : x
  2. Step 2: Convert to fraction form
    494,278.41/682,133.62 = 279,438.47/x
  3. Step 3: Cross multiply
    494,278.41x = 682,133.62 × 279,438.47
  4. Step 4: Simplify right side
    494,278.41x = 190,614,371,697.69
  5. Step 5: Solve for x
    x = 190,614,371,697.69/494,278.41
  6. Step 6: Final answer
    x = 385,641.71

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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.