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Finding the Fourth Proportional to 411,012, 616,518 and 115,524

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Solution

The fourth proportional to 411,012, 616,518 and 115,524 is: 173,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,012 : 616,518 = 115,524 : x
  2. Step 2: Convert to fraction form
    411,012/616,518 = 115,524/x
  3. Step 3: Cross multiply
    411,012x = 616,518 × 115,524
  4. Step 4: Simplify right side
    411,012x = 71,222,625,432
  5. Step 5: Solve for x
    x = 71,222,625,432/411,012
  6. Step 6: Final answer
    x = 173,286

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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.