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Finding the Fourth Proportional to 201,352.40, 301,769.40 and 154,372.40

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Solution

The fourth proportional to 201,352.40, 301,769.40 and 154,372.40 is: 231,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.40 : 301,769.40 = 154,372.40 : x
  2. Step 2: Convert to fraction form
    201,352.40/301,769.40 = 154,372.40/x
  3. Step 3: Cross multiply
    201,352.40x = 301,769.40 × 154,372.40
  4. Step 4: Simplify right side
    201,352.40x = 46,584,866,524.56
  5. Step 5: Solve for x
    x = 46,584,866,524.56/201,352.40
  6. Step 6: Final answer
    x = 231,359.88

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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.