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Finding the Fourth Proportional to 275,201.89, 379,603.80 and 198,833.20

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Solution

The fourth proportional to 275,201.89, 379,603.80 and 198,833.20 is: 274,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,201.89 : 379,603.80 = 198,833.20 : x
  2. Step 2: Convert to fraction form
    275,201.89/379,603.80 = 198,833.20/x
  3. Step 3: Cross multiply
    275,201.89x = 379,603.80 × 198,833.20
  4. Step 4: Simplify right side
    275,201.89x = 75,477,837,337.15
  5. Step 5: Solve for x
    x = 75,477,837,337.15/275,201.89
  6. Step 6: Final answer
    x = 274,263.52

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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.