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Finding the Fourth Proportional to 419,399.32, 629,100.09 and 194,731.24

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Solution

The fourth proportional to 419,399.32, 629,100.09 and 194,731.24 is: 292,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,399.32 : 629,100.09 = 194,731.24 : x
  2. Step 2: Convert to fraction form
    419,399.32/629,100.09 = 194,731.24/x
  3. Step 3: Cross multiply
    419,399.32x = 629,100.09 × 194,731.24
  4. Step 4: Simplify right side
    419,399.32x = 122,505,440,609.81
  5. Step 5: Solve for x
    x = 122,505,440,609.81/419,399.32
  6. Step 6: Final answer
    x = 292,097.38

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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.