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Finding the Fourth Proportional to 280,810, 421,215 and 83,818

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Solution

The fourth proportional to 280,810, 421,215 and 83,818 is: 125,727

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,810 : 421,215 = 83,818 : x
  2. Step 2: Convert to fraction form
    280,810/421,215 = 83,818/x
  3. Step 3: Cross multiply
    280,810x = 421,215 × 83,818
  4. Step 4: Simplify right side
    280,810x = 35,305,398,870
  5. Step 5: Solve for x
    x = 35,305,398,870/280,810
  6. Step 6: Final answer
    x = 125,727

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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.