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Finding the Fourth Proportional to 383,954.40, 576,104.40 and 134,815.20

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Solution

The fourth proportional to 383,954.40, 576,104.40 and 134,815.20 is: 202,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,954.40 : 576,104.40 = 134,815.20 : x
  2. Step 2: Convert to fraction form
    383,954.40/576,104.40 = 134,815.20/x
  3. Step 3: Cross multiply
    383,954.40x = 576,104.40 × 134,815.20
  4. Step 4: Simplify right side
    383,954.40x = 77,667,629,906.88
  5. Step 5: Solve for x
    x = 77,667,629,906.88/383,954.40
  6. Step 6: Final answer
    x = 202,283.47

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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.