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Finding the Fourth Proportional to 419,193.92, 628,577.28 and 205,976

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Solution

The fourth proportional to 419,193.92, 628,577.28 and 205,976 is: 308,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,193.92 : 628,577.28 = 205,976 : x
  2. Step 2: Convert to fraction form
    419,193.92/628,577.28 = 205,976/x
  3. Step 3: Cross multiply
    419,193.92x = 628,577.28 × 205,976
  4. Step 4: Simplify right side
    419,193.92x = 129,471,833,825.28
  5. Step 5: Solve for x
    x = 129,471,833,825.28/419,193.92
  6. Step 6: Final answer
    x = 308,859.05

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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.