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Finding the Fourth Proportional to 419,142.18, 628,713.46 and 138,659.42

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Solution

The fourth proportional to 419,142.18, 628,713.46 and 138,659.42 is: 207,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,142.18 : 628,713.46 = 138,659.42 : x
  2. Step 2: Convert to fraction form
    419,142.18/628,713.46 = 138,659.42/x
  3. Step 3: Cross multiply
    419,142.18x = 628,713.46 × 138,659.42
  4. Step 4: Simplify right side
    419,142.18x = 87,177,043,709.79
  5. Step 5: Solve for x
    x = 87,177,043,709.79/419,142.18
  6. Step 6: Final answer
    x = 207,989.19

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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.