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Finding the Fourth Proportional to 1,647,968,276, 2,274,391,185.13 and 978,915,964.23

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Solution

The fourth proportional to 1,647,968,276, 2,274,391,185.13 and 978,915,964.23 is: 1,351,019,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,968,276 : 2,274,391,185.13 = 978,915,964.23 : x
  2. Step 2: Convert to fraction form
    1,647,968,276/2,274,391,185.13 = 978,915,964.23/x
  3. Step 3: Cross multiply
    1,647,968,276x = 2,274,391,185.13 × 978,915,964.23
  4. Step 4: Simplify right side
    1,647,968,276x = 2,226,437,840,027,746,560
  5. Step 5: Solve for x
    x = 2,226,437,840,027,746,560/1,647,968,276
  6. Step 6: Final answer
    x = 1,351,019,842.10

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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.