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Finding the Fourth Proportional to 382,891.20, 574,405.20 and 130,158.41

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Solution

The fourth proportional to 382,891.20, 574,405.20 and 130,158.41 is: 195,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,891.20 : 574,405.20 = 130,158.41 : x
  2. Step 2: Convert to fraction form
    382,891.20/574,405.20 = 130,158.41/x
  3. Step 3: Cross multiply
    382,891.20x = 574,405.20 × 130,158.41
  4. Step 4: Simplify right side
    382,891.20x = 74,763,667,527.73
  5. Step 5: Solve for x
    x = 74,763,667,527.73/382,891.20
  6. Step 6: Final answer
    x = 195,260.87

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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.