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Finding the Fourth Proportional to 408,694.22, 613,129.56 and 124,407

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Solution

The fourth proportional to 408,694.22, 613,129.56 and 124,407 is: 186,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,694.22 : 613,129.56 = 124,407 : x
  2. Step 2: Convert to fraction form
    408,694.22/613,129.56 = 124,407/x
  3. Step 3: Cross multiply
    408,694.22x = 613,129.56 × 124,407
  4. Step 4: Simplify right side
    408,694.22x = 76,277,609,170.92
  5. Step 5: Solve for x
    x = 76,277,609,170.92/408,694.22
  6. Step 6: Final answer
    x = 186,637.36

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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.