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Finding the Fourth Proportional to 408,556.92, 613,409.34 and 209,020.44

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Solution

The fourth proportional to 408,556.92, 613,409.34 and 209,020.44 is: 313,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,556.92 : 613,409.34 = 209,020.44 : x
  2. Step 2: Convert to fraction form
    408,556.92/613,409.34 = 209,020.44/x
  3. Step 3: Cross multiply
    408,556.92x = 613,409.34 × 209,020.44
  4. Step 4: Simplify right side
    408,556.92x = 128,215,090,146.91
  5. Step 5: Solve for x
    x = 128,215,090,146.91/408,556.92
  6. Step 6: Final answer
    x = 313,824.30

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1.5x scale

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.