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Finding the Fourth Proportional to 491,617.94, 678,445.88 and 276,766.16

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Solution

The fourth proportional to 491,617.94, 678,445.88 and 276,766.16 is: 381,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,617.94 : 678,445.88 = 276,766.16 : x
  2. Step 2: Convert to fraction form
    491,617.94/678,445.88 = 276,766.16/x
  3. Step 3: Cross multiply
    491,617.94x = 678,445.88 × 276,766.16
  4. Step 4: Simplify right side
    491,617.94x = 187,770,856,199.36
  5. Step 5: Solve for x
    x = 187,770,856,199.36/491,617.94
  6. Step 6: Final answer
    x = 381,944.68

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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.