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Finding the Fourth Proportional to 312,251.40, 430,791.66 and 204,881.04

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Solution

The fourth proportional to 312,251.40, 430,791.66 and 204,881.04 is: 282,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,251.40 : 430,791.66 = 204,881.04 : x
  2. Step 2: Convert to fraction form
    312,251.40/430,791.66 = 204,881.04/x
  3. Step 3: Cross multiply
    312,251.40x = 430,791.66 × 204,881.04
  4. Step 4: Simplify right side
    312,251.40x = 88,261,043,324.13
  5. Step 5: Solve for x
    x = 88,261,043,324.13/312,251.40
  6. Step 6: Final answer
    x = 282,660.20

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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.