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Finding the Fourth Proportional to 394,050, 543,789 and 215,202

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Solution

The fourth proportional to 394,050, 543,789 and 215,202 is: 296,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,050 : 543,789 = 215,202 : x
  2. Step 2: Convert to fraction form
    394,050/543,789 = 215,202/x
  3. Step 3: Cross multiply
    394,050x = 543,789 × 215,202
  4. Step 4: Simplify right side
    394,050x = 117,024,480,378
  5. Step 5: Solve for x
    x = 117,024,480,378/394,050
  6. Step 6: Final answer
    x = 296,978.76

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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.