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Finding the Fourth Proportional to 303,234.38, 418,597.94 and 195,856.78

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Solution

The fourth proportional to 303,234.38, 418,597.94 and 195,856.78 is: 270,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,234.38 : 418,597.94 = 195,856.78 : x
  2. Step 2: Convert to fraction form
    303,234.38/418,597.94 = 195,856.78/x
  3. Step 3: Cross multiply
    303,234.38x = 418,597.94 × 195,856.78
  4. Step 4: Simplify right side
    303,234.38x = 81,985,244,643.03
  5. Step 5: Solve for x
    x = 81,985,244,643.03/303,234.38
  6. Step 6: Final answer
    x = 270,369.23

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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.