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Finding the Fourth Proportional to 279,400,071.60, 419,100,107.40 and 274,865,108.40

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Solution

The fourth proportional to 279,400,071.60, 419,100,107.40 and 274,865,108.40 is: 412,297,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,400,071.60 : 419,100,107.40 = 274,865,108.40 : x
  2. Step 2: Convert to fraction form
    279,400,071.60/419,100,107.40 = 274,865,108.40/x
  3. Step 3: Cross multiply
    279,400,071.60x = 419,100,107.40 × 274,865,108.40
  4. Step 4: Simplify right side
    279,400,071.60x = 115,195,996,450,952,624
  5. Step 5: Solve for x
    x = 115,195,996,450,952,624/279,400,071.60
  6. Step 6: Final answer
    x = 412,297,662.60

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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.