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Finding the Fourth Proportional to 214,910.60, 322,365.90 and 205,809.80

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Solution

The fourth proportional to 214,910.60, 322,365.90 and 205,809.80 is: 308,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.60 : 322,365.90 = 205,809.80 : x
  2. Step 2: Convert to fraction form
    214,910.60/322,365.90 = 205,809.80/x
  3. Step 3: Cross multiply
    214,910.60x = 322,365.90 × 205,809.80
  4. Step 4: Simplify right side
    214,910.60x = 66,346,061,405.82
  5. Step 5: Solve for x
    x = 66,346,061,405.82/214,910.60
  6. Step 6: Final answer
    x = 308,714.70

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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.