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Finding the Fourth Proportional to 1,238,978,699.40, 1,858,468,049.10 and 868,119,486.60

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Solution

The fourth proportional to 1,238,978,699.40, 1,858,468,049.10 and 868,119,486.60 is: 1,302,179,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,978,699.40 : 1,858,468,049.10 = 868,119,486.60 : x
  2. Step 2: Convert to fraction form
    1,238,978,699.40/1,858,468,049.10 = 868,119,486.60/x
  3. Step 3: Cross multiply
    1,238,978,699.40x = 1,858,468,049.10 × 868,119,486.60
  4. Step 4: Simplify right side
    1,238,978,699.40x = 1,613,372,328,647,195,648
  5. Step 5: Solve for x
    x = 1,613,372,328,647,195,648/1,238,978,699.40
  6. Step 6: Final answer
    x = 1,302,179,229.90

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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.