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Finding the Fourth Proportional to 419,522.40, 629,290.08 and 119,997.36

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Solution

The fourth proportional to 419,522.40, 629,290.08 and 119,997.36 is: 179,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,522.40 : 629,290.08 = 119,997.36 : x
  2. Step 2: Convert to fraction form
    419,522.40/629,290.08 = 119,997.36/x
  3. Step 3: Cross multiply
    419,522.40x = 629,290.08 × 119,997.36
  4. Step 4: Simplify right side
    419,522.40x = 75,513,148,274.19
  5. Step 5: Solve for x
    x = 75,513,148,274.19/419,522.40
  6. Step 6: Final answer
    x = 179,997.89

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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.