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Finding the Fourth Proportional to 494,138.62, 681,893.40 and 279,274.24

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Solution

The fourth proportional to 494,138.62, 681,893.40 and 279,274.24 is: 385,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,138.62 : 681,893.40 = 279,274.24 : x
  2. Step 2: Convert to fraction form
    494,138.62/681,893.40 = 279,274.24/x
  3. Step 3: Cross multiply
    494,138.62x = 681,893.40 × 279,274.24
  4. Step 4: Simplify right side
    494,138.62x = 190,435,261,046.02
  5. Step 5: Solve for x
    x = 190,435,261,046.02/494,138.62
  6. Step 6: Final answer
    x = 385,388.34

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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.