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Finding the Fourth Proportional to 411,002, 616,503 and 115,514

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Solution

The fourth proportional to 411,002, 616,503 and 115,514 is: 173,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,002 : 616,503 = 115,514 : x
  2. Step 2: Convert to fraction form
    411,002/616,503 = 115,514/x
  3. Step 3: Cross multiply
    411,002x = 616,503 × 115,514
  4. Step 4: Simplify right side
    411,002x = 71,214,727,542
  5. Step 5: Solve for x
    x = 71,214,727,542/411,002
  6. Step 6: Final answer
    x = 173,271

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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.