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Finding the Fourth Proportional to 200,358.38, 276,494.56 and 115,480.91

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Solution

The fourth proportional to 200,358.38, 276,494.56 and 115,480.91 is: 159,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358.38 : 276,494.56 = 115,480.91 : x
  2. Step 2: Convert to fraction form
    200,358.38/276,494.56 = 115,480.91/x
  3. Step 3: Cross multiply
    200,358.38x = 276,494.56 × 115,480.91
  4. Step 4: Simplify right side
    200,358.38x = 31,929,841,727.67
  5. Step 5: Solve for x
    x = 31,929,841,727.67/200,358.38
  6. Step 6: Final answer
    x = 159,363.65

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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.