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Finding the Fourth Proportional to 408,830, 613,245 and 113,342

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Solution

The fourth proportional to 408,830, 613,245 and 113,342 is: 170,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,830 : 613,245 = 113,342 : x
  2. Step 2: Convert to fraction form
    408,830/613,245 = 113,342/x
  3. Step 3: Cross multiply
    408,830x = 613,245 × 113,342
  4. Step 4: Simplify right side
    408,830x = 69,506,414,790
  5. Step 5: Solve for x
    x = 69,506,414,790/408,830
  6. Step 6: Final answer
    x = 170,013

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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.