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Finding the Fourth Proportional to 419,695.02, 629,665.45 and 135,380.16

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Solution

The fourth proportional to 419,695.02, 629,665.45 and 135,380.16 is: 203,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,695.02 : 629,665.45 = 135,380.16 : x
  2. Step 2: Convert to fraction form
    419,695.02/629,665.45 = 135,380.16/x
  3. Step 3: Cross multiply
    419,695.02x = 629,665.45 × 135,380.16
  4. Step 4: Simplify right side
    419,695.02x = 85,244,209,029.02
  5. Step 5: Solve for x
    x = 85,244,209,029.02/419,695.02
  6. Step 6: Final answer
    x = 203,109.89

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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.