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Finding the Fourth Proportional to 285,134, 393,588.60 and 165,902

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Solution

The fourth proportional to 285,134, 393,588.60 and 165,902 is: 229,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,134 : 393,588.60 = 165,902 : x
  2. Step 2: Convert to fraction form
    285,134/393,588.60 = 165,902/x
  3. Step 3: Cross multiply
    285,134x = 393,588.60 × 165,902
  4. Step 4: Simplify right side
    285,134x = 65,297,135,917.20
  5. Step 5: Solve for x
    x = 65,297,135,917.20/285,134
  6. Step 6: Final answer
    x = 229,005.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.