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Finding the Fourth Proportional to 494,134.48, 681,905.52 and 267,780

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Solution

The fourth proportional to 494,134.48, 681,905.52 and 267,780 is: 369,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,134.48 : 681,905.52 = 267,780 : x
  2. Step 2: Convert to fraction form
    494,134.48/681,905.52 = 267,780/x
  3. Step 3: Cross multiply
    494,134.48x = 681,905.52 × 267,780
  4. Step 4: Simplify right side
    494,134.48x = 182,600,660,145.60
  5. Step 5: Solve for x
    x = 182,600,660,145.60/494,134.48
  6. Step 6: Final answer
    x = 369,536.37

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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.