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Finding the Fourth Proportional to 257,057.29, 354,688.65 and 161,508.63

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Solution

The fourth proportional to 257,057.29, 354,688.65 and 161,508.63 is: 222,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.29 : 354,688.65 = 161,508.63 : x
  2. Step 2: Convert to fraction form
    257,057.29/354,688.65 = 161,508.63/x
  3. Step 3: Cross multiply
    257,057.29x = 354,688.65 × 161,508.63
  4. Step 4: Simplify right side
    257,057.29x = 57,285,277,938.05
  5. Step 5: Solve for x
    x = 57,285,277,938.05/257,057.29
  6. Step 6: Final answer
    x = 222,850.24

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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.