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Finding the Fourth Proportional to 408,712.48, 613,100.16 and 124,427.43

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Solution

The fourth proportional to 408,712.48, 613,100.16 and 124,427.43 is: 186,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,712.48 : 613,100.16 = 124,427.43 : x
  2. Step 2: Convert to fraction form
    408,712.48/613,100.16 = 124,427.43/x
  3. Step 3: Cross multiply
    408,712.48x = 613,100.16 × 124,427.43
  4. Step 4: Simplify right side
    408,712.48x = 76,286,476,729.17
  5. Step 5: Solve for x
    x = 76,286,476,729.17/408,712.48
  6. Step 6: Final answer
    x = 186,650.71

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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.