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Finding the Fourth Proportional to 408,915.80, 611,915.70 and 259,227.80

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Solution

The fourth proportional to 408,915.80, 611,915.70 and 259,227.80 is: 387,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,915.80 : 611,915.70 = 259,227.80 : x
  2. Step 2: Convert to fraction form
    408,915.80/611,915.70 = 259,227.80/x
  3. Step 3: Cross multiply
    408,915.80x = 611,915.70 × 259,227.80
  4. Step 4: Simplify right side
    408,915.80x = 158,625,560,696.46
  5. Step 5: Solve for x
    x = 158,625,560,696.46/408,915.80
  6. Step 6: Final answer
    x = 387,917.42

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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.