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Finding the Fourth Proportional to 408,794.10, 613,217.08 and 128,322.42

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Solution

The fourth proportional to 408,794.10, 613,217.08 and 128,322.42 is: 192,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,794.10 : 613,217.08 = 128,322.42 : x
  2. Step 2: Convert to fraction form
    408,794.10/613,217.08 = 128,322.42/x
  3. Step 3: Cross multiply
    408,794.10x = 613,217.08 × 128,322.42
  4. Step 4: Simplify right side
    408,794.10x = 78,689,499,690.93
  5. Step 5: Solve for x
    x = 78,689,499,690.93/408,794.10
  6. Step 6: Final answer
    x = 192,491.77

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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.