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Finding the Fourth Proportional to 419,548.38, 629,089.29 and 138,912.54

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Solution

The fourth proportional to 419,548.38, 629,089.29 and 138,912.54 is: 208,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,548.38 : 629,089.29 = 138,912.54 : x
  2. Step 2: Convert to fraction form
    419,548.38/629,089.29 = 138,912.54/x
  3. Step 3: Cross multiply
    419,548.38x = 629,089.29 × 138,912.54
  4. Step 4: Simplify right side
    419,548.38x = 87,388,391,160.70
  5. Step 5: Solve for x
    x = 87,388,391,160.70/419,548.38
  6. Step 6: Final answer
    x = 208,291.57

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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.