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Finding the Fourth Proportional to 419,215.72, 628,823.87 and 134,906.21

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Solution

The fourth proportional to 419,215.72, 628,823.87 and 134,906.21 is: 202,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.72 : 628,823.87 = 134,906.21 : x
  2. Step 2: Convert to fraction form
    419,215.72/628,823.87 = 134,906.21/x
  3. Step 3: Cross multiply
    419,215.72x = 628,823.87 × 134,906.21
  4. Step 4: Simplify right side
    419,215.72x = 84,832,245,059.23
  5. Step 5: Solve for x
    x = 84,832,245,059.23/419,215.72
  6. Step 6: Final answer
    x = 202,359.41

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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.