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Finding the Fourth Proportional to 491,164.55, 677,846.45 and 276,291.80

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Solution

The fourth proportional to 491,164.55, 677,846.45 and 276,291.80 is: 381,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,164.55 : 677,846.45 = 276,291.80 : x
  2. Step 2: Convert to fraction form
    491,164.55/677,846.45 = 276,291.80/x
  3. Step 3: Cross multiply
    491,164.55x = 677,846.45 × 276,291.80
  4. Step 4: Simplify right side
    491,164.55x = 187,283,415,794.11
  5. Step 5: Solve for x
    x = 187,283,415,794.11/491,164.55
  6. Step 6: Final answer
    x = 381,304.83

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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.