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Finding the Fourth Proportional to 394,153.70, 543,932.11 and 212,865.67

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Solution

The fourth proportional to 394,153.70, 543,932.11 and 212,865.67 is: 293,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,153.70 : 543,932.11 = 212,865.67 : x
  2. Step 2: Convert to fraction form
    394,153.70/543,932.11 = 212,865.67/x
  3. Step 3: Cross multiply
    394,153.70x = 543,932.11 × 212,865.67
  4. Step 4: Simplify right side
    394,153.70x = 115,784,473,975.66
  5. Step 5: Solve for x
    x = 115,784,473,975.66/394,153.70
  6. Step 6: Final answer
    x = 293,754.63

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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.