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Finding the Fourth Proportional to 491,364.32, 678,074.82 and 276,504.26

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Solution

The fourth proportional to 491,364.32, 678,074.82 and 276,504.26 is: 381,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,364.32 : 678,074.82 = 276,504.26 : x
  2. Step 2: Convert to fraction form
    491,364.32/678,074.82 = 276,504.26/x
  3. Step 3: Cross multiply
    491,364.32x = 678,074.82 × 276,504.26
  4. Step 4: Simplify right side
    491,364.32x = 187,490,576,328.73
  5. Step 5: Solve for x
    x = 187,490,576,328.73/491,364.32
  6. Step 6: Final answer
    x = 381,571.41

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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.