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Finding the Fourth Proportional to 491,076.68, 677,679.01 and 276,216.89

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Solution

The fourth proportional to 491,076.68, 677,679.01 and 276,216.89 is: 381,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,076.68 : 677,679.01 = 276,216.89 : x
  2. Step 2: Convert to fraction form
    491,076.68/677,679.01 = 276,216.89/x
  3. Step 3: Cross multiply
    491,076.68x = 677,679.01 × 276,216.89
  4. Step 4: Simplify right side
    491,076.68x = 187,186,384,481.54
  5. Step 5: Solve for x
    x = 187,186,384,481.54/491,076.68
  6. Step 6: Final answer
    x = 381,175.47

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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.