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Finding the Fourth Proportional to 408,914.80, 611,914.20 and 259,226.80

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Solution

The fourth proportional to 408,914.80, 611,914.20 and 259,226.80 is: 387,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,914.80 : 611,914.20 = 259,226.80 : x
  2. Step 2: Convert to fraction form
    408,914.80/611,914.20 = 259,226.80/x
  3. Step 3: Cross multiply
    408,914.80x = 611,914.20 × 259,226.80
  4. Step 4: Simplify right side
    408,914.80x = 158,624,559,940.56
  5. Step 5: Solve for x
    x = 158,624,559,940.56/408,914.80
  6. Step 6: Final answer
    x = 387,915.92

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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.