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Finding the Fourth Proportional to 282,101.44, 388,945.76 and 206,518.72

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Solution

The fourth proportional to 282,101.44, 388,945.76 and 206,518.72 is: 284,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,101.44 : 388,945.76 = 206,518.72 : x
  2. Step 2: Convert to fraction form
    282,101.44/388,945.76 = 206,518.72/x
  3. Step 3: Cross multiply
    282,101.44x = 388,945.76 × 206,518.72
  4. Step 4: Simplify right side
    282,101.44x = 80,324,580,504.63
  5. Step 5: Solve for x
    x = 80,324,580,504.63/282,101.44
  6. Step 6: Final answer
    x = 284,736.51

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1.5x scale

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.