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Finding the Fourth Proportional to 279,321.60, 418,982.40 and 274,713.60

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Solution

The fourth proportional to 279,321.60, 418,982.40 and 274,713.60 is: 412,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,321.60 : 418,982.40 = 274,713.60 : x
  2. Step 2: Convert to fraction form
    279,321.60/418,982.40 = 274,713.60/x
  3. Step 3: Cross multiply
    279,321.60x = 418,982.40 × 274,713.60
  4. Step 4: Simplify right side
    279,321.60x = 115,100,163,440.64
  5. Step 5: Solve for x
    x = 115,100,163,440.64/279,321.60
  6. Step 6: Final answer
    x = 412,070.40

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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.