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Finding the Fourth Proportional to 285,035.22, 428,214.60 and 269,730

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Solution

The fourth proportional to 285,035.22, 428,214.60 and 269,730 is: 405,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,035.22 : 428,214.60 = 269,730 : x
  2. Step 2: Convert to fraction form
    285,035.22/428,214.60 = 269,730/x
  3. Step 3: Cross multiply
    285,035.22x = 428,214.60 × 269,730
  4. Step 4: Simplify right side
    285,035.22x = 115,502,324,058
  5. Step 5: Solve for x
    x = 115,502,324,058/285,035.22
  6. Step 6: Final answer
    x = 405,221.24

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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.