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Finding the Fourth Proportional to 491,833.41, 678,716.82 and 276,968.82

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Solution

The fourth proportional to 491,833.41, 678,716.82 and 276,968.82 is: 382,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,833.41 : 678,716.82 = 276,968.82 : x
  2. Step 2: Convert to fraction form
    491,833.41/678,716.82 = 276,968.82/x
  3. Step 3: Cross multiply
    491,833.41x = 678,716.82 × 276,968.82
  4. Step 4: Simplify right side
    491,833.41x = 187,983,396,749.55
  5. Step 5: Solve for x
    x = 187,983,396,749.55/491,833.41
  6. Step 6: Final answer
    x = 382,209.49

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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.