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Finding the Fourth Proportional to 257,114.28, 354,775.44 and 161,553.28

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Solution

The fourth proportional to 257,114.28, 354,775.44 and 161,553.28 is: 222,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,114.28 : 354,775.44 = 161,553.28 : x
  2. Step 2: Convert to fraction form
    257,114.28/354,775.44 = 161,553.28/x
  3. Step 3: Cross multiply
    257,114.28x = 354,775.44 × 161,553.28
  4. Step 4: Simplify right side
    257,114.28x = 57,315,135,995.44
  5. Step 5: Solve for x
    x = 57,315,135,995.44/257,114.28
  6. Step 6: Final answer
    x = 222,916.97

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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.