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Finding the Fourth Proportional to 214,940.60, 322,410.90 and 205,839.80

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Solution

The fourth proportional to 214,940.60, 322,410.90 and 205,839.80 is: 308,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,940.60 : 322,410.90 = 205,839.80 : x
  2. Step 2: Convert to fraction form
    214,940.60/322,410.90 = 205,839.80/x
  3. Step 3: Cross multiply
    214,940.60x = 322,410.90 × 205,839.80
  4. Step 4: Simplify right side
    214,940.60x = 66,364,995,173.82
  5. Step 5: Solve for x
    x = 66,364,995,173.82/214,940.60
  6. Step 6: Final answer
    x = 308,759.70

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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.