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Finding the Fourth Proportional to 342,219.97, 472,321.83 and 199,063

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Solution

The fourth proportional to 342,219.97, 472,321.83 and 199,063 is: 274,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,219.97 : 472,321.83 = 199,063 : x
  2. Step 2: Convert to fraction form
    342,219.97/472,321.83 = 199,063/x
  3. Step 3: Cross multiply
    342,219.97x = 472,321.83 × 199,063
  4. Step 4: Simplify right side
    342,219.97x = 94,021,800,445.29
  5. Step 5: Solve for x
    x = 94,021,800,445.29/342,219.97
  6. Step 6: Final answer
    x = 274,740.84

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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.