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Finding the Fourth Proportional to 409,172.20, 612,997.98 and 222,340.84

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Solution

The fourth proportional to 409,172.20, 612,997.98 and 222,340.84 is: 333,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,172.20 : 612,997.98 = 222,340.84 : x
  2. Step 2: Convert to fraction form
    409,172.20/612,997.98 = 222,340.84/x
  3. Step 3: Cross multiply
    409,172.20x = 612,997.98 × 222,340.84
  4. Step 4: Simplify right side
    409,172.20x = 136,294,485,791.50
  5. Step 5: Solve for x
    x = 136,294,485,791.50/409,172.20
  6. Step 6: Final answer
    x = 333,098.11

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1.5x scale

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.