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Finding the Fourth Proportional to 324,514.64, 486,946.22 and 135,105.74

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Solution

The fourth proportional to 324,514.64, 486,946.22 and 135,105.74 is: 202,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,514.64 : 486,946.22 = 135,105.74 : x
  2. Step 2: Convert to fraction form
    324,514.64/486,946.22 = 135,105.74/x
  3. Step 3: Cross multiply
    324,514.64x = 486,946.22 × 135,105.74
  4. Step 4: Simplify right side
    324,514.64x = 65,789,229,935.14
  5. Step 5: Solve for x
    x = 65,789,229,935.14/324,514.64
  6. Step 6: Final answer
    x = 202,731.16

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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.