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Finding the Fourth Proportional to 1,283,241,978, 1,770,828,104.70 and 726,313,067.64

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Solution

The fourth proportional to 1,283,241,978, 1,770,828,104.70 and 726,313,067.64 is: 1,002,286,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,241,978 : 1,770,828,104.70 = 726,313,067.64 : x
  2. Step 2: Convert to fraction form
    1,283,241,978/1,770,828,104.70 = 726,313,067.64/x
  3. Step 3: Cross multiply
    1,283,241,978x = 1,770,828,104.70 × 726,313,067.64
  4. Step 4: Simplify right side
    1,283,241,978x = 1,286,175,592,987,784,192
  5. Step 5: Solve for x
    x = 1,286,175,592,987,784,192/1,283,241,978
  6. Step 6: Final answer
    x = 1,002,286,096.49

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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.