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Finding the Fourth Proportional to 419,938.50, 629,971.20 and 135,534

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Solution

The fourth proportional to 419,938.50, 629,971.20 and 135,534 is: 203,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,938.50 : 629,971.20 = 135,534 : x
  2. Step 2: Convert to fraction form
    419,938.50/629,971.20 = 135,534/x
  3. Step 3: Cross multiply
    419,938.50x = 629,971.20 × 135,534
  4. Step 4: Simplify right side
    419,938.50x = 85,382,516,620.80
  5. Step 5: Solve for x
    x = 85,382,516,620.80/419,938.50
  6. Step 6: Final answer
    x = 203,321.48

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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.