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Finding the Fourth Proportional to 394,947, 545,027.22 and 216,099

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Solution

The fourth proportional to 394,947, 545,027.22 and 216,099 is: 298,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,947 : 545,027.22 = 216,099 : x
  2. Step 2: Convert to fraction form
    394,947/545,027.22 = 216,099/x
  3. Step 3: Cross multiply
    394,947x = 545,027.22 × 216,099
  4. Step 4: Simplify right side
    394,947x = 117,779,837,214.78
  5. Step 5: Solve for x
    x = 117,779,837,214.78/394,947
  6. Step 6: Final answer
    x = 298,216.82

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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.