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Finding the Fourth Proportional to 234,857,872.80, 352,286,809.20 and 213,694,711.20

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Solution

The fourth proportional to 234,857,872.80, 352,286,809.20 and 213,694,711.20 is: 320,542,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,857,872.80 : 352,286,809.20 = 213,694,711.20 : x
  2. Step 2: Convert to fraction form
    234,857,872.80/352,286,809.20 = 213,694,711.20/x
  3. Step 3: Cross multiply
    234,857,872.80x = 352,286,809.20 × 213,694,711.20
  4. Step 4: Simplify right side
    234,857,872.80x = 75,281,827,951,563,504
  5. Step 5: Solve for x
    x = 75,281,827,951,563,504/234,857,872.80
  6. Step 6: Final answer
    x = 320,542,066.80

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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.