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Finding the Fourth Proportional to 491,642.05, 678,478.71 and 276,789.80

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Solution

The fourth proportional to 491,642.05, 678,478.71 and 276,789.80 is: 381,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,642.05 : 678,478.71 = 276,789.80 : x
  2. Step 2: Convert to fraction form
    491,642.05/678,478.71 = 276,789.80/x
  3. Step 3: Cross multiply
    491,642.05x = 678,478.71 × 276,789.80
  4. Step 4: Simplify right side
    491,642.05x = 187,795,986,445.16
  5. Step 5: Solve for x
    x = 187,795,986,445.16/491,642.05
  6. Step 6: Final answer
    x = 381,977.06

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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.