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Finding the Fourth Proportional to 312,188.31, 431,005.46 and 204,945.93

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Solution

The fourth proportional to 312,188.31, 431,005.46 and 204,945.93 is: 282,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,188.31 : 431,005.46 = 204,945.93 : x
  2. Step 2: Convert to fraction form
    312,188.31/431,005.46 = 204,945.93/x
  3. Step 3: Cross multiply
    312,188.31x = 431,005.46 × 204,945.93
  4. Step 4: Simplify right side
    312,188.31x = 88,332,813,810.05
  5. Step 5: Solve for x
    x = 88,332,813,810.05/312,188.31
  6. Step 6: Final answer
    x = 282,947.22

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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.