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Finding the Fourth Proportional to 270,189, 405,283.50 and 73,197

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Solution

The fourth proportional to 270,189, 405,283.50 and 73,197 is: 109,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,189 : 405,283.50 = 73,197 : x
  2. Step 2: Convert to fraction form
    270,189/405,283.50 = 73,197/x
  3. Step 3: Cross multiply
    270,189x = 405,283.50 × 73,197
  4. Step 4: Simplify right side
    270,189x = 29,665,536,349.50
  5. Step 5: Solve for x
    x = 29,665,536,349.50/270,189
  6. Step 6: Final answer
    x = 109,795.50

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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.