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Finding the Fourth Proportional to 201,252.40, 301,619.40 and 154,272.40

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Solution

The fourth proportional to 201,252.40, 301,619.40 and 154,272.40 is: 231,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,252.40 : 301,619.40 = 154,272.40 : x
  2. Step 2: Convert to fraction form
    201,252.40/301,619.40 = 154,272.40/x
  3. Step 3: Cross multiply
    201,252.40x = 301,619.40 × 154,272.40
  4. Step 4: Simplify right side
    201,252.40x = 46,531,548,724.56
  5. Step 5: Solve for x
    x = 46,531,548,724.56/201,252.40
  6. Step 6: Final answer
    x = 231,209.91

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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.