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Finding the Fourth Proportional to 335,042.75, 462,150.74 and 198,978.54

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Solution

The fourth proportional to 335,042.75, 462,150.74 and 198,978.54 is: 274,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,042.75 : 462,150.74 = 198,978.54 : x
  2. Step 2: Convert to fraction form
    335,042.75/462,150.74 = 198,978.54/x
  3. Step 3: Cross multiply
    335,042.75x = 462,150.74 × 198,978.54
  4. Step 4: Simplify right side
    335,042.75x = 91,958,078,510.23
  5. Step 5: Solve for x
    x = 91,958,078,510.23/335,042.75
  6. Step 6: Final answer
    x = 274,466.71

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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.