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Finding the Fourth Proportional to 491,409.85, 678,033.39 and 276,471.49

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Solution

The fourth proportional to 491,409.85, 678,033.39 and 276,471.49 is: 381,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,409.85 : 678,033.39 = 276,471.49 : x
  2. Step 2: Convert to fraction form
    491,409.85/678,033.39 = 276,471.49/x
  3. Step 3: Cross multiply
    491,409.85x = 678,033.39 × 276,471.49
  4. Step 4: Simplify right side
    491,409.85x = 187,456,899,531.50
  5. Step 5: Solve for x
    x = 187,456,899,531.50/491,409.85
  6. Step 6: Final answer
    x = 381,467.53

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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.