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Finding the Fourth Proportional to 419,812.61, 629,921.39 and 206,464.79

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Solution

The fourth proportional to 419,812.61, 629,921.39 and 206,464.79 is: 309,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,812.61 : 629,921.39 = 206,464.79 : x
  2. Step 2: Convert to fraction form
    419,812.61/629,921.39 = 206,464.79/x
  3. Step 3: Cross multiply
    419,812.61x = 629,921.39 × 206,464.79
  4. Step 4: Simplify right side
    419,812.61x = 130,056,583,320.93
  5. Step 5: Solve for x
    x = 130,056,583,320.93/419,812.61
  6. Step 6: Final answer
    x = 309,796.76

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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.