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Finding the Fourth Proportional to 201,309.40, 301,704.90 and 154,329.40

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Solution

The fourth proportional to 201,309.40, 301,704.90 and 154,329.40 is: 231,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309.40 : 301,704.90 = 154,329.40 : x
  2. Step 2: Convert to fraction form
    201,309.40/301,704.90 = 154,329.40/x
  3. Step 3: Cross multiply
    201,309.40x = 301,704.90 × 154,329.40
  4. Step 4: Simplify right side
    201,309.40x = 46,561,936,194.06
  5. Step 5: Solve for x
    x = 46,561,936,194.06/201,309.40
  6. Step 6: Final answer
    x = 231,295.39

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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.