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Finding the Fourth Proportional to 410,998, 616,497 and 115,510

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Solution

The fourth proportional to 410,998, 616,497 and 115,510 is: 173,265

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,998 : 616,497 = 115,510 : x
  2. Step 2: Convert to fraction form
    410,998/616,497 = 115,510/x
  3. Step 3: Cross multiply
    410,998x = 616,497 × 115,510
  4. Step 4: Simplify right side
    410,998x = 71,211,568,470
  5. Step 5: Solve for x
    x = 71,211,568,470/410,998
  6. Step 6: Final answer
    x = 173,265

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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.