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Finding the Fourth Proportional to 409,405.76, 614,292.96 and 222,136.64

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Solution

The fourth proportional to 409,405.76, 614,292.96 and 222,136.64 is: 333,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,405.76 : 614,292.96 = 222,136.64 : x
  2. Step 2: Convert to fraction form
    409,405.76/614,292.96 = 222,136.64/x
  3. Step 3: Cross multiply
    409,405.76x = 614,292.96 × 222,136.64
  4. Step 4: Simplify right side
    409,405.76x = 136,456,974,110.05
  5. Step 5: Solve for x
    x = 136,456,974,110.05/409,405.76
  6. Step 6: Final answer
    x = 333,304.97

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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.