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Finding the Fourth Proportional to 408,855, 613,288.02 and 128,372.28

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Solution

The fourth proportional to 408,855, 613,288.02 and 128,372.28 is: 192,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855 : 613,288.02 = 128,372.28 : x
  2. Step 2: Convert to fraction form
    408,855/613,288.02 = 128,372.28/x
  3. Step 3: Cross multiply
    408,855x = 613,288.02 × 128,372.28
  4. Step 4: Simplify right side
    408,855x = 78,729,181,424.09
  5. Step 5: Solve for x
    x = 78,729,181,424.09/408,855
  6. Step 6: Final answer
    x = 192,560.15

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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.