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Finding the Fourth Proportional to 709,479,948.78, 978,940,314.99 and 396,165,954.78

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Solution

The fourth proportional to 709,479,948.78, 978,940,314.99 and 396,165,954.78 is: 546,629,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,479,948.78 : 978,940,314.99 = 396,165,954.78 : x
  2. Step 2: Convert to fraction form
    709,479,948.78/978,940,314.99 = 396,165,954.78/x
  3. Step 3: Cross multiply
    709,479,948.78x = 978,940,314.99 × 396,165,954.78
  4. Step 4: Simplify right side
    709,479,948.78x = 387,822,824,560,647,296
  5. Step 5: Solve for x
    x = 387,822,824,560,647,296/709,479,948.78
  6. Step 6: Final answer
    x = 546,629,718.33

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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.