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Finding the Fourth Proportional to 419,859.24, 629,351.46 and 183,138.36

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Solution

The fourth proportional to 419,859.24, 629,351.46 and 183,138.36 is: 274,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859.24 : 629,351.46 = 183,138.36 : x
  2. Step 2: Convert to fraction form
    419,859.24/629,351.46 = 183,138.36/x
  3. Step 3: Cross multiply
    419,859.24x = 629,351.46 × 183,138.36
  4. Step 4: Simplify right side
    419,859.24x = 115,258,394,248.01
  5. Step 5: Solve for x
    x = 115,258,394,248.01/419,859.24
  6. Step 6: Final answer
    x = 274,516.75

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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.