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Finding the Fourth Proportional to 204,516.40, 306,784.20 and 64,279.60

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Solution

The fourth proportional to 204,516.40, 306,784.20 and 64,279.60 is: 96,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,516.40 : 306,784.20 = 64,279.60 : x
  2. Step 2: Convert to fraction form
    204,516.40/306,784.20 = 64,279.60/x
  3. Step 3: Cross multiply
    204,516.40x = 306,784.20 × 64,279.60
  4. Step 4: Simplify right side
    204,516.40x = 19,719,965,662.32
  5. Step 5: Solve for x
    x = 19,719,965,662.32/204,516.40
  6. Step 6: Final answer
    x = 96,422.42

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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.