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Finding the Fourth Proportional to 633,144, 949,716 and 189,912

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Solution

The fourth proportional to 633,144, 949,716 and 189,912 is: 284,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,144 : 949,716 = 189,912 : x
  2. Step 2: Convert to fraction form
    633,144/949,716 = 189,912/x
  3. Step 3: Cross multiply
    633,144x = 949,716 × 189,912
  4. Step 4: Simplify right side
    633,144x = 180,362,464,992
  5. Step 5: Solve for x
    x = 180,362,464,992/633,144
  6. Step 6: Final answer
    x = 284,868

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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.