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Finding the Fourth Proportional to 303,825.20, 419,278.77 and 169,689.20

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Solution

The fourth proportional to 303,825.20, 419,278.77 and 169,689.20 is: 234,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,825.20 : 419,278.77 = 169,689.20 : x
  2. Step 2: Convert to fraction form
    303,825.20/419,278.77 = 169,689.20/x
  3. Step 3: Cross multiply
    303,825.20x = 419,278.77 × 169,689.20
  4. Step 4: Simplify right side
    303,825.20x = 71,147,076,961.89
  5. Step 5: Solve for x
    x = 71,147,076,961.89/303,825.20
  6. Step 6: Final answer
    x = 234,171.09

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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.