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Finding the Fourth Proportional to 409,138.48, 613,804.25 and 128,655.73

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Solution

The fourth proportional to 409,138.48, 613,804.25 and 128,655.73 is: 193,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,138.48 : 613,804.25 = 128,655.73 : x
  2. Step 2: Convert to fraction form
    409,138.48/613,804.25 = 128,655.73/x
  3. Step 3: Cross multiply
    409,138.48x = 613,804.25 × 128,655.73
  4. Step 4: Simplify right side
    409,138.48x = 78,969,433,860.85
  5. Step 5: Solve for x
    x = 78,969,433,860.85/409,138.48
  6. Step 6: Final answer
    x = 193,013.95

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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.