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Finding the Fourth Proportional to 366,217, 505,336.92 and 213,288.64

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Solution

The fourth proportional to 366,217, 505,336.92 and 213,288.64 is: 294,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,217 : 505,336.92 = 213,288.64 : x
  2. Step 2: Convert to fraction form
    366,217/505,336.92 = 213,288.64/x
  3. Step 3: Cross multiply
    366,217x = 505,336.92 × 213,288.64
  4. Step 4: Simplify right side
    366,217x = 107,782,624,408.59
  5. Step 5: Solve for x
    x = 107,782,624,408.59/366,217
  6. Step 6: Final answer
    x = 294,313.55

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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.