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Finding the Fourth Proportional to 1,993,179,862.40, 2,988,873,998.40 and 765,940,438.40

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Solution

The fourth proportional to 1,993,179,862.40, 2,988,873,998.40 and 765,940,438.40 is: 1,148,566,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,179,862.40 : 2,988,873,998.40 = 765,940,438.40 : x
  2. Step 2: Convert to fraction form
    1,993,179,862.40/2,988,873,998.40 = 765,940,438.40/x
  3. Step 3: Cross multiply
    1,993,179,862.40x = 2,988,873,998.40 × 765,940,438.40
  4. Step 4: Simplify right side
    1,993,179,862.40x = 2,289,299,460,656,856,832
  5. Step 5: Solve for x
    x = 2,289,299,460,656,856,832/1,993,179,862.40
  6. Step 6: Final answer
    x = 1,148,566,420.84

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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.