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Finding the Fourth Proportional to 408,725.42, 613,191.81 and 128,245.10

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Solution

The fourth proportional to 408,725.42, 613,191.81 and 128,245.10 is: 192,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,725.42 : 613,191.81 = 128,245.10 : x
  2. Step 2: Convert to fraction form
    408,725.42/613,191.81 = 128,245.10/x
  3. Step 3: Cross multiply
    408,725.42x = 613,191.81 × 128,245.10
  4. Step 4: Simplify right side
    408,725.42x = 78,638,844,992.63
  5. Step 5: Solve for x
    x = 78,638,844,992.63/408,725.42
  6. Step 6: Final answer
    x = 192,400.18

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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.