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Finding the Fourth Proportional to 282,105.72, 389,305.88 and 161,249.60

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Solution

The fourth proportional to 282,105.72, 389,305.88 and 161,249.60 is: 222,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,105.72 : 389,305.88 = 161,249.60 : x
  2. Step 2: Convert to fraction form
    282,105.72/389,305.88 = 161,249.60/x
  3. Step 3: Cross multiply
    282,105.72x = 389,305.88 × 161,249.60
  4. Step 4: Simplify right side
    282,105.72x = 62,775,417,427.65
  5. Step 5: Solve for x
    x = 62,775,417,427.65/282,105.72
  6. Step 6: Final answer
    x = 222,524.44

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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.