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Finding the Fourth Proportional to 491,471.84, 678,224.40 and 287,662.88

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Solution

The fourth proportional to 491,471.84, 678,224.40 and 287,662.88 is: 396,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,471.84 : 678,224.40 = 287,662.88 : x
  2. Step 2: Convert to fraction form
    491,471.84/678,224.40 = 287,662.88/x
  3. Step 3: Cross multiply
    491,471.84x = 678,224.40 × 287,662.88
  4. Step 4: Simplify right side
    491,471.84x = 195,099,984,190.27
  5. Step 5: Solve for x
    x = 195,099,984,190.27/491,471.84
  6. Step 6: Final answer
    x = 396,970.83

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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.