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Finding the Fourth Proportional to 214,843.60, 322,265.40 and 205,742.80

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Solution

The fourth proportional to 214,843.60, 322,265.40 and 205,742.80 is: 308,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,843.60 : 322,265.40 = 205,742.80 : x
  2. Step 2: Convert to fraction form
    214,843.60/322,265.40 = 205,742.80/x
  3. Step 3: Cross multiply
    214,843.60x = 322,265.40 × 205,742.80
  4. Step 4: Simplify right side
    214,843.60x = 66,303,785,739.12
  5. Step 5: Solve for x
    x = 66,303,785,739.12/214,843.60
  6. Step 6: Final answer
    x = 308,614.20

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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.