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Finding the Fourth Proportional to 279,743,996.40, 419,615,994.60 and 274,369,225.20

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Solution

The fourth proportional to 279,743,996.40, 419,615,994.60 and 274,369,225.20 is: 411,553,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743,996.40 : 419,615,994.60 = 274,369,225.20 : x
  2. Step 2: Convert to fraction form
    279,743,996.40/419,615,994.60 = 274,369,225.20/x
  3. Step 3: Cross multiply
    279,743,996.40x = 419,615,994.60 × 274,369,225.20
  4. Step 4: Simplify right side
    279,743,996.40x = 115,129,715,319,929,392
  5. Step 5: Solve for x
    x = 115,129,715,319,929,392/279,743,996.40
  6. Step 6: Final answer
    x = 411,553,837.80

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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.