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Finding the Fourth Proportional to 419,218.62, 628,267.05 and 205,659.42

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Solution

The fourth proportional to 419,218.62, 628,267.05 and 205,659.42 is: 308,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,218.62 : 628,267.05 = 205,659.42 : x
  2. Step 2: Convert to fraction form
    419,218.62/628,267.05 = 205,659.42/x
  3. Step 3: Cross multiply
    419,218.62x = 628,267.05 × 205,659.42
  4. Step 4: Simplify right side
    419,218.62x = 129,209,037,108.11
  5. Step 5: Solve for x
    x = 129,209,037,108.11/419,218.62
  6. Step 6: Final answer
    x = 308,213.97

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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.