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Finding the Fourth Proportional to 411,000, 616,500 and 115,512

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Solution

The fourth proportional to 411,000, 616,500 and 115,512 is: 173,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,000 : 616,500 = 115,512 : x
  2. Step 2: Convert to fraction form
    411,000/616,500 = 115,512/x
  3. Step 3: Cross multiply
    411,000x = 616,500 × 115,512
  4. Step 4: Simplify right side
    411,000x = 71,213,148,000
  5. Step 5: Solve for x
    x = 71,213,148,000/411,000
  6. Step 6: Final answer
    x = 173,268

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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.