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Finding the Fourth Proportional to 491,643.05, 678,480.09 and 276,790.80

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Solution

The fourth proportional to 491,643.05, 678,480.09 and 276,790.80 is: 381,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,643.05 : 678,480.09 = 276,790.80 : x
  2. Step 2: Convert to fraction form
    491,643.05/678,480.09 = 276,790.80/x
  3. Step 3: Cross multiply
    491,643.05x = 678,480.09 × 276,790.80
  4. Step 4: Simplify right side
    491,643.05x = 187,797,046,895.17
  5. Step 5: Solve for x
    x = 187,797,046,895.17/491,643.05
  6. Step 6: Final answer
    x = 381,978.44

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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.