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Finding the Fourth Proportional to 419,788.90, 629,497.59 and 120,201.22

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Solution

The fourth proportional to 419,788.90, 629,497.59 and 120,201.22 is: 180,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,788.90 : 629,497.59 = 120,201.22 : x
  2. Step 2: Convert to fraction form
    419,788.90/629,497.59 = 120,201.22/x
  3. Step 3: Cross multiply
    419,788.90x = 629,497.59 × 120,201.22
  4. Step 4: Simplify right side
    419,788.90x = 75,666,378,305.06
  5. Step 5: Solve for x
    x = 75,666,378,305.06/419,788.90
  6. Step 6: Final answer
    x = 180,248.64

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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.