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Finding the Fourth Proportional to 419,391.92, 628,635.36 and 205,911.56

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Solution

The fourth proportional to 419,391.92, 628,635.36 and 205,911.56 is: 308,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,391.92 : 628,635.36 = 205,911.56 : x
  2. Step 2: Convert to fraction form
    419,391.92/628,635.36 = 205,911.56/x
  3. Step 3: Cross multiply
    419,391.92x = 628,635.36 × 205,911.56
  4. Step 4: Simplify right side
    419,391.92x = 129,443,287,648.76
  5. Step 5: Solve for x
    x = 129,443,287,648.76/419,391.92
  6. Step 6: Final answer
    x = 308,645.16

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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.