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Finding the Fourth Proportional to 494,780.52, 682,375.14 and 380,336.42

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Solution

The fourth proportional to 494,780.52, 682,375.14 and 380,336.42 is: 524,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,780.52 : 682,375.14 = 380,336.42 : x
  2. Step 2: Convert to fraction form
    494,780.52/682,375.14 = 380,336.42/x
  3. Step 3: Cross multiply
    494,780.52x = 682,375.14 × 380,336.42
  4. Step 4: Simplify right side
    494,780.52x = 259,532,117,844.60
  5. Step 5: Solve for x
    x = 259,532,117,844.60/494,780.52
  6. Step 6: Final answer
    x = 524,539.89

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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.