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Finding the Fourth Proportional to 267,286.40, 400,929.60 and 165,809.60

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Solution

The fourth proportional to 267,286.40, 400,929.60 and 165,809.60 is: 248,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,286.40 : 400,929.60 = 165,809.60 : x
  2. Step 2: Convert to fraction form
    267,286.40/400,929.60 = 165,809.60/x
  3. Step 3: Cross multiply
    267,286.40x = 400,929.60 × 165,809.60
  4. Step 4: Simplify right side
    267,286.40x = 66,477,976,604.16
  5. Step 5: Solve for x
    x = 66,477,976,604.16/267,286.40
  6. Step 6: Final answer
    x = 248,714.40

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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.