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Finding the Fourth Proportional to 383,198.11, 574,866.89 and 130,465.65

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Solution

The fourth proportional to 383,198.11, 574,866.89 and 130,465.65 is: 195,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,198.11 : 574,866.89 = 130,465.65 : x
  2. Step 2: Convert to fraction form
    383,198.11/574,866.89 = 130,465.65/x
  3. Step 3: Cross multiply
    383,198.11x = 574,866.89 × 130,465.65
  4. Step 4: Simplify right side
    383,198.11x = 75,000,384,460.00
  5. Step 5: Solve for x
    x = 75,000,384,460.00/383,198.11
  6. Step 6: Final answer
    x = 195,722.22

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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.