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Finding the Fourth Proportional to 303,966.57, 419,524.88 and 205,805.28

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Solution

The fourth proportional to 303,966.57, 419,524.88 and 205,805.28 is: 284,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,966.57 : 419,524.88 = 205,805.28 : x
  2. Step 2: Convert to fraction form
    303,966.57/419,524.88 = 205,805.28/x
  3. Step 3: Cross multiply
    303,966.57x = 419,524.88 × 205,805.28
  4. Step 4: Simplify right side
    303,966.57x = 86,340,433,812.26
  5. Step 5: Solve for x
    x = 86,340,433,812.26/303,966.57
  6. Step 6: Final answer
    x = 284,045.83

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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.