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Finding the Fourth Proportional to 419,698.88, 629,670.92 and 135,383.13

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Solution

The fourth proportional to 419,698.88, 629,670.92 and 135,383.13 is: 203,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.88 : 629,670.92 = 135,383.13 : x
  2. Step 2: Convert to fraction form
    419,698.88/629,670.92 = 135,383.13/x
  3. Step 3: Cross multiply
    419,698.88x = 629,670.92 × 135,383.13
  4. Step 4: Simplify right side
    419,698.88x = 85,246,819,342.66
  5. Step 5: Solve for x
    x = 85,246,819,342.66/419,698.88
  6. Step 6: Final answer
    x = 203,114.24

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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.