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Finding the Fourth Proportional to 306,954.56, 423,662.64 and 206,294.24

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Solution

The fourth proportional to 306,954.56, 423,662.64 and 206,294.24 is: 284,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,954.56 : 423,662.64 = 206,294.24 : x
  2. Step 2: Convert to fraction form
    306,954.56/423,662.64 = 206,294.24/x
  3. Step 3: Cross multiply
    306,954.56x = 423,662.64 × 206,294.24
  4. Step 4: Simplify right side
    306,954.56x = 87,399,162,335.19
  5. Step 5: Solve for x
    x = 87,399,162,335.19/306,954.56
  6. Step 6: Final answer
    x = 284,729.97

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1.5x scale

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.