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Finding the Fourth Proportional to 279,743,999.90, 419,615,999.85 and 274,369,228.70

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Solution

The fourth proportional to 279,743,999.90, 419,615,999.85 and 274,369,228.70 is: 411,553,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743,999.90 : 419,615,999.85 = 274,369,228.70 : x
  2. Step 2: Convert to fraction form
    279,743,999.90/419,615,999.85 = 274,369,228.70/x
  3. Step 3: Cross multiply
    279,743,999.90x = 419,615,999.85 × 274,369,228.70
  4. Step 4: Simplify right side
    279,743,999.90x = 115,129,718,229,023,824
  5. Step 5: Solve for x
    x = 115,129,718,229,023,824/279,743,999.90
  6. Step 6: Final answer
    x = 411,553,843.05

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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.