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Finding the Fourth Proportional to 545,500.78, 818,383.20 and 185,668

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Solution

The fourth proportional to 545,500.78, 818,383.20 and 185,668 is: 278,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,500.78 : 818,383.20 = 185,668 : x
  2. Step 2: Convert to fraction form
    545,500.78/818,383.20 = 185,668/x
  3. Step 3: Cross multiply
    545,500.78x = 818,383.20 × 185,668
  4. Step 4: Simplify right side
    545,500.78x = 151,947,571,977.60
  5. Step 5: Solve for x
    x = 151,947,571,977.60/545,500.78
  6. Step 6: Final answer
    x = 278,546.94

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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.