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Finding the Fourth Proportional to 360,982.38, 498,149.43 and 199,833.90

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Solution

The fourth proportional to 360,982.38, 498,149.43 and 199,833.90 is: 275,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,982.38 : 498,149.43 = 199,833.90 : x
  2. Step 2: Convert to fraction form
    360,982.38/498,149.43 = 199,833.90/x
  3. Step 3: Cross multiply
    360,982.38x = 498,149.43 × 199,833.90
  4. Step 4: Simplify right side
    360,982.38x = 99,547,143,379.68
  5. Step 5: Solve for x
    x = 99,547,143,379.68/360,982.38
  6. Step 6: Final answer
    x = 275,767.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.