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Finding the Fourth Proportional to 408,665.16, 613,377.36 and 209,128.68

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Solution

The fourth proportional to 408,665.16, 613,377.36 and 209,128.68 is: 313,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,665.16 : 613,377.36 = 209,128.68 : x
  2. Step 2: Convert to fraction form
    408,665.16/613,377.36 = 209,128.68/x
  3. Step 3: Cross multiply
    408,665.16x = 613,377.36 × 209,128.68
  4. Step 4: Simplify right side
    408,665.16x = 128,274,797,638.69
  5. Step 5: Solve for x
    x = 128,274,797,638.69/408,665.16
  6. Step 6: Final answer
    x = 313,887.29

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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.