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Finding the Fourth Proportional to 408,738.84, 613,134.18 and 128,267.16

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Solution

The fourth proportional to 408,738.84, 613,134.18 and 128,267.16 is: 192,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,738.84 : 613,134.18 = 128,267.16 : x
  2. Step 2: Convert to fraction form
    408,738.84/613,134.18 = 128,267.16/x
  3. Step 3: Cross multiply
    408,738.84x = 613,134.18 × 128,267.16
  4. Step 4: Simplify right side
    408,738.84x = 78,644,979,967.53
  5. Step 5: Solve for x
    x = 78,644,979,967.53/408,738.84
  6. Step 6: Final answer
    x = 192,408.87

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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.