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Finding the Fourth Proportional to 273,786.17, 409,680.12 and 161,520.17

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Solution

The fourth proportional to 273,786.17, 409,680.12 and 161,520.17 is: 241,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,786.17 : 409,680.12 = 161,520.17 : x
  2. Step 2: Convert to fraction form
    273,786.17/409,680.12 = 161,520.17/x
  3. Step 3: Cross multiply
    273,786.17x = 409,680.12 × 161,520.17
  4. Step 4: Simplify right side
    273,786.17x = 66,171,602,628.02
  5. Step 5: Solve for x
    x = 66,171,602,628.02/273,786.17
  6. Step 6: Final answer
    x = 241,690.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.