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Finding the Fourth Proportional to 199,034.88, 298,640.21 and 154,443.66

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Solution

The fourth proportional to 199,034.88, 298,640.21 and 154,443.66 is: 231,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,034.88 : 298,640.21 = 154,443.66 : x
  2. Step 2: Convert to fraction form
    199,034.88/298,640.21 = 154,443.66/x
  3. Step 3: Cross multiply
    199,034.88x = 298,640.21 × 154,443.66
  4. Step 4: Simplify right side
    199,034.88x = 46,123,087,055.57
  5. Step 5: Solve for x
    x = 46,123,087,055.57/199,034.88
  6. Step 6: Final answer
    x = 231,733.69

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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.