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Finding the Fourth Proportional to 303,976.40, 419,487.82 and 174,912.30

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Solution

The fourth proportional to 303,976.40, 419,487.82 and 174,912.30 is: 241,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,976.40 : 419,487.82 = 174,912.30 : x
  2. Step 2: Convert to fraction form
    303,976.40/419,487.82 = 174,912.30/x
  3. Step 3: Cross multiply
    303,976.40x = 419,487.82 × 174,912.30
  4. Step 4: Simplify right side
    303,976.40x = 73,373,579,418.19
  5. Step 5: Solve for x
    x = 73,373,579,418.19/303,976.40
  6. Step 6: Final answer
    x = 241,379.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.