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Finding the Fourth Proportional to 416,361, 624,558.78 and 120,873

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Solution

The fourth proportional to 416,361, 624,558.78 and 120,873 is: 181,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,361 : 624,558.78 = 120,873 : x
  2. Step 2: Convert to fraction form
    416,361/624,558.78 = 120,873/x
  3. Step 3: Cross multiply
    416,361x = 624,558.78 × 120,873
  4. Step 4: Simplify right side
    416,361x = 75,492,293,414.94
  5. Step 5: Solve for x
    x = 75,492,293,414.94/416,361
  6. Step 6: Final answer
    x = 181,314.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.