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Finding the Fourth Proportional to 408,738.34, 613,133.43 and 128,266.66

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Solution

The fourth proportional to 408,738.34, 613,133.43 and 128,266.66 is: 192,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,738.34 : 613,133.43 = 128,266.66 : x
  2. Step 2: Convert to fraction form
    408,738.34/613,133.43 = 128,266.66/x
  3. Step 3: Cross multiply
    408,738.34x = 613,133.43 × 128,266.66
  4. Step 4: Simplify right side
    408,738.34x = 78,644,577,200.44
  5. Step 5: Solve for x
    x = 78,644,577,200.44/408,738.34
  6. Step 6: Final answer
    x = 192,408.12

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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.