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Finding the Fourth Proportional to 252,435.76, 378,764.82 and 196,191.60

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Solution

The fourth proportional to 252,435.76, 378,764.82 and 196,191.60 is: 294,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.76 : 378,764.82 = 196,191.60 : x
  2. Step 2: Convert to fraction form
    252,435.76/378,764.82 = 196,191.60/x
  3. Step 3: Cross multiply
    252,435.76x = 378,764.82 × 196,191.60
  4. Step 4: Simplify right side
    252,435.76x = 74,310,476,059.51
  5. Step 5: Solve for x
    x = 74,310,476,059.51/252,435.76
  6. Step 6: Final answer
    x = 294,373.81

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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.