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Finding the Fourth Proportional to 419,675.76, 629,020.80 and 194,562.36

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Solution

The fourth proportional to 419,675.76, 629,020.80 and 194,562.36 is: 291,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,675.76 : 629,020.80 = 194,562.36 : x
  2. Step 2: Convert to fraction form
    419,675.76/629,020.80 = 194,562.36/x
  3. Step 3: Cross multiply
    419,675.76x = 629,020.80 × 194,562.36
  4. Step 4: Simplify right side
    419,675.76x = 122,383,771,337.09
  5. Step 5: Solve for x
    x = 122,383,771,337.09/419,675.76
  6. Step 6: Final answer
    x = 291,615.06

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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.