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Finding the Fourth Proportional to 280,806, 421,209 and 83,814

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Solution

The fourth proportional to 280,806, 421,209 and 83,814 is: 125,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,806 : 421,209 = 83,814 : x
  2. Step 2: Convert to fraction form
    280,806/421,209 = 83,814/x
  3. Step 3: Cross multiply
    280,806x = 421,209 × 83,814
  4. Step 4: Simplify right side
    280,806x = 35,303,211,126
  5. Step 5: Solve for x
    x = 35,303,211,126/280,806
  6. Step 6: Final answer
    x = 125,721

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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.