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Finding the Fourth Proportional to 306,474.46, 422,993 and 191,806.40

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Solution

The fourth proportional to 306,474.46, 422,993 and 191,806.40 is: 264,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,474.46 : 422,993 = 191,806.40 : x
  2. Step 2: Convert to fraction form
    306,474.46/422,993 = 191,806.40/x
  3. Step 3: Cross multiply
    306,474.46x = 422,993 × 191,806.40
  4. Step 4: Simplify right side
    306,474.46x = 81,132,764,555.20
  5. Step 5: Solve for x
    x = 81,132,764,555.20/306,474.46
  6. Step 6: Final answer
    x = 264,729.28

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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.