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Finding the Fourth Proportional to 280,855.89, 420,911.24 and 122,912.37

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Solution

The fourth proportional to 280,855.89, 420,911.24 and 122,912.37 is: 184,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,855.89 : 420,911.24 = 122,912.37 : x
  2. Step 2: Convert to fraction form
    280,855.89/420,911.24 = 122,912.37/x
  3. Step 3: Cross multiply
    280,855.89x = 420,911.24 × 122,912.37
  4. Step 4: Simplify right side
    280,855.89x = 51,735,197,453.48
  5. Step 5: Solve for x
    x = 51,735,197,453.48/280,855.89
  6. Step 6: Final answer
    x = 184,205.49

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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.