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Finding the Fourth Proportional to 288,205.40, 433,253.73 and 267,396.68

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Solution

The fourth proportional to 288,205.40, 433,253.73 and 267,396.68 is: 401,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,205.40 : 433,253.73 = 267,396.68 : x
  2. Step 2: Convert to fraction form
    288,205.40/433,253.73 = 267,396.68/x
  3. Step 3: Cross multiply
    288,205.40x = 433,253.73 × 267,396.68
  4. Step 4: Simplify right side
    288,205.40x = 115,850,608,999.62
  5. Step 5: Solve for x
    x = 115,850,608,999.62/288,205.40
  6. Step 6: Final answer
    x = 401,972.37

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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.