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Finding the Fourth Proportional to 339,409.64, 468,357.88 and 196,178.96

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Solution

The fourth proportional to 339,409.64, 468,357.88 and 196,178.96 is: 270,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,409.64 : 468,357.88 = 196,178.96 : x
  2. Step 2: Convert to fraction form
    339,409.64/468,357.88 = 196,178.96/x
  3. Step 3: Cross multiply
    339,409.64x = 468,357.88 × 196,178.96
  4. Step 4: Simplify right side
    339,409.64x = 91,881,961,806.20
  5. Step 5: Solve for x
    x = 91,881,961,806.20/339,409.64
  6. Step 6: Final answer
    x = 270,711.11

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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.