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Finding the Fourth Proportional to 257,755.33, 386,915.84 and 204,787.80

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Solution

The fourth proportional to 257,755.33, 386,915.84 and 204,787.80 is: 307,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,755.33 : 386,915.84 = 204,787.80 : x
  2. Step 2: Convert to fraction form
    257,755.33/386,915.84 = 204,787.80/x
  3. Step 3: Cross multiply
    257,755.33x = 386,915.84 × 204,787.80
  4. Step 4: Simplify right side
    257,755.33x = 79,235,643,658.75
  5. Step 5: Solve for x
    x = 79,235,643,658.75/257,755.33
  6. Step 6: Final answer
    x = 307,406.42

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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.