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Finding the Fourth Proportional to 257,069.12, 354,768.96 and 161,540.48

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Solution

The fourth proportional to 257,069.12, 354,768.96 and 161,540.48 is: 222,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.12 : 354,768.96 = 161,540.48 : x
  2. Step 2: Convert to fraction form
    257,069.12/354,768.96 = 161,540.48/x
  3. Step 3: Cross multiply
    257,069.12x = 354,768.96 × 161,540.48
  4. Step 4: Simplify right side
    257,069.12x = 57,309,548,087.50
  5. Step 5: Solve for x
    x = 57,309,548,087.50/257,069.12
  6. Step 6: Final answer
    x = 222,934.39

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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.