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Finding the Fourth Proportional to 203,489.87, 280,492.44 and 160,399.49

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Solution

The fourth proportional to 203,489.87, 280,492.44 and 160,399.49 is: 221,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489.87 : 280,492.44 = 160,399.49 : x
  2. Step 2: Convert to fraction form
    203,489.87/280,492.44 = 160,399.49/x
  3. Step 3: Cross multiply
    203,489.87x = 280,492.44 × 160,399.49
  4. Step 4: Simplify right side
    203,489.87x = 44,990,842,922.39
  5. Step 5: Solve for x
    x = 44,990,842,922.39/203,489.87
  6. Step 6: Final answer
    x = 221,096.23

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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.