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Finding the Fourth Proportional to 274,857.30, 412,344.81 and 85,313.70

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Solution

The fourth proportional to 274,857.30, 412,344.81 and 85,313.70 is: 127,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.30 : 412,344.81 = 85,313.70 : x
  2. Step 2: Convert to fraction form
    274,857.30/412,344.81 = 85,313.70/x
  3. Step 3: Cross multiply
    274,857.30x = 412,344.81 × 85,313.70
  4. Step 4: Simplify right side
    274,857.30x = 35,178,661,416.90
  5. Step 5: Solve for x
    x = 35,178,661,416.90/274,857.30
  6. Step 6: Final answer
    x = 127,988.82

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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.