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Finding the Fourth Proportional to 416,211.20, 624,253.44 and 135,728

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Solution

The fourth proportional to 416,211.20, 624,253.44 and 135,728 is: 203,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,211.20 : 624,253.44 = 135,728 : x
  2. Step 2: Convert to fraction form
    416,211.20/624,253.44 = 135,728/x
  3. Step 3: Cross multiply
    416,211.20x = 624,253.44 × 135,728
  4. Step 4: Simplify right side
    416,211.20x = 84,728,670,904.32
  5. Step 5: Solve for x
    x = 84,728,670,904.32/416,211.20
  6. Step 6: Final answer
    x = 203,571.34

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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.