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Finding the Fourth Proportional to 419,485.17, 629,209.47 and 135,169.36

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Solution

The fourth proportional to 419,485.17, 629,209.47 and 135,169.36 is: 202,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,485.17 : 629,209.47 = 135,169.36 : x
  2. Step 2: Convert to fraction form
    419,485.17/629,209.47 = 135,169.36/x
  3. Step 3: Cross multiply
    419,485.17x = 629,209.47 × 135,169.36
  4. Step 4: Simplify right side
    419,485.17x = 85,049,839,539.37
  5. Step 5: Solve for x
    x = 85,049,839,539.37/419,485.17
  6. Step 6: Final answer
    x = 202,748.15

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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.