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Finding the Fourth Proportional to 306,453.28, 458,729.52 and 165,863.20

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Solution

The fourth proportional to 306,453.28, 458,729.52 and 165,863.20 is: 248,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,453.28 : 458,729.52 = 165,863.20 : x
  2. Step 2: Convert to fraction form
    306,453.28/458,729.52 = 165,863.20/x
  3. Step 3: Cross multiply
    306,453.28x = 458,729.52 × 165,863.20
  4. Step 4: Simplify right side
    306,453.28x = 76,086,346,121.66
  5. Step 5: Solve for x
    x = 76,086,346,121.66/306,453.28
  6. Step 6: Final answer
    x = 248,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.