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Finding the Fourth Proportional to 494,645, 682,610.16 and 279,780.44

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Solution

The fourth proportional to 494,645, 682,610.16 and 279,780.44 is: 386,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,645 : 682,610.16 = 279,780.44 : x
  2. Step 2: Convert to fraction form
    494,645/682,610.16 = 279,780.44/x
  3. Step 3: Cross multiply
    494,645x = 682,610.16 × 279,780.44
  4. Step 4: Simplify right side
    494,645x = 190,980,970,913.27
  5. Step 5: Solve for x
    x = 190,980,970,913.27/494,645
  6. Step 6: Final answer
    x = 386,097.04

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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.