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Finding the Fourth Proportional to 491,406.96, 678,169.52 and 295,233.44

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Solution

The fourth proportional to 491,406.96, 678,169.52 and 295,233.44 is: 407,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,406.96 : 678,169.52 = 295,233.44 : x
  2. Step 2: Convert to fraction form
    491,406.96/678,169.52 = 295,233.44/x
  3. Step 3: Cross multiply
    491,406.96x = 678,169.52 × 295,233.44
  4. Step 4: Simplify right side
    491,406.96x = 200,218,318,706.95
  5. Step 5: Solve for x
    x = 200,218,318,706.95/491,406.96
  6. Step 6: Final answer
    x = 407,438.92

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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.