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Finding the Fourth Proportional to 282,142.86, 389,357.11 and 161,286.84

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Solution

The fourth proportional to 282,142.86, 389,357.11 and 161,286.84 is: 222,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,142.86 : 389,357.11 = 161,286.84 : x
  2. Step 2: Convert to fraction form
    282,142.86/389,357.11 = 161,286.84/x
  3. Step 3: Cross multiply
    282,142.86x = 389,357.11 × 161,286.84
  4. Step 4: Simplify right side
    282,142.86x = 62,798,177,903.43
  5. Step 5: Solve for x
    x = 62,798,177,903.43/282,142.86
  6. Step 6: Final answer
    x = 222,575.82

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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.