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Finding the Fourth Proportional to 419,796.31, 629,756.70 and 135,393.34

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Solution

The fourth proportional to 419,796.31, 629,756.70 and 135,393.34 is: 203,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796.31 : 629,756.70 = 135,393.34 : x
  2. Step 2: Convert to fraction form
    419,796.31/629,756.70 = 135,393.34/x
  3. Step 3: Cross multiply
    419,796.31x = 629,756.70 × 135,393.34
  4. Step 4: Simplify right side
    419,796.31x = 85,264,863,000.38
  5. Step 5: Solve for x
    x = 85,264,863,000.38/419,796.31
  6. Step 6: Final answer
    x = 203,110.08

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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.