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Finding the Fourth Proportional to 282,229.28, 389,475.90 and 161,372.84

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Solution

The fourth proportional to 282,229.28, 389,475.90 and 161,372.84 is: 222,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,229.28 : 389,475.90 = 161,372.84 : x
  2. Step 2: Convert to fraction form
    282,229.28/389,475.90 = 161,372.84/x
  3. Step 3: Cross multiply
    282,229.28x = 389,475.90 × 161,372.84
  4. Step 4: Simplify right side
    282,229.28x = 62,850,832,094.56
  5. Step 5: Solve for x
    x = 62,850,832,094.56/282,229.28
  6. Step 6: Final answer
    x = 222,694.23

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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.