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Finding the Fourth Proportional to 627,319,008.20, 940,978,512.30 and 420,694,747.40

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Solution

The fourth proportional to 627,319,008.20, 940,978,512.30 and 420,694,747.40 is: 631,042,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,319,008.20 : 940,978,512.30 = 420,694,747.40 : x
  2. Step 2: Convert to fraction form
    627,319,008.20/940,978,512.30 = 420,694,747.40/x
  3. Step 3: Cross multiply
    627,319,008.20x = 940,978,512.30 × 420,694,747.40
  4. Step 4: Simplify right side
    627,319,008.20x = 395,864,717,540,876,224
  5. Step 5: Solve for x
    x = 395,864,717,540,876,224/627,319,008.20
  6. Step 6: Final answer
    x = 631,042,121.10

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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.