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Finding the Fourth Proportional to 300,223, 450,221.58 and 122,635.12

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Solution

The fourth proportional to 300,223, 450,221.58 and 122,635.12 is: 183,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,223 : 450,221.58 = 122,635.12 : x
  2. Step 2: Convert to fraction form
    300,223/450,221.58 = 122,635.12/x
  3. Step 3: Cross multiply
    300,223x = 450,221.58 × 122,635.12
  4. Step 4: Simplify right side
    300,223x = 55,212,977,489.89
  5. Step 5: Solve for x
    x = 55,212,977,489.89/300,223
  6. Step 6: Final answer
    x = 183,906.55

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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.