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Finding the Fourth Proportional to 279,660,985.60, 419,491,478.40 and 252,451,206.40

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Solution

The fourth proportional to 279,660,985.60, 419,491,478.40 and 252,451,206.40 is: 378,676,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,660,985.60 : 419,491,478.40 = 252,451,206.40 : x
  2. Step 2: Convert to fraction form
    279,660,985.60/419,491,478.40 = 252,451,206.40/x
  3. Step 3: Cross multiply
    279,660,985.60x = 419,491,478.40 × 252,451,206.40
  4. Step 4: Simplify right side
    279,660,985.60x = 105,901,129,796,599,536
  5. Step 5: Solve for x
    x = 105,901,129,796,599,536/279,660,985.60
  6. Step 6: Final answer
    x = 378,676,809.60

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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.