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Finding the Fourth Proportional to 201,310.40, 301,706.40 and 154,330.40

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Solution

The fourth proportional to 201,310.40, 301,706.40 and 154,330.40 is: 231,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.40 : 301,706.40 = 154,330.40 : x
  2. Step 2: Convert to fraction form
    201,310.40/301,706.40 = 154,330.40/x
  3. Step 3: Cross multiply
    201,310.40x = 301,706.40 × 154,330.40
  4. Step 4: Simplify right side
    201,310.40x = 46,562,469,394.56
  5. Step 5: Solve for x
    x = 46,562,469,394.56/201,310.40
  6. Step 6: Final answer
    x = 231,296.89

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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.