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Finding the Fourth Proportional to 288,361.44, 431,938.98 and 231,895.80

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Solution

The fourth proportional to 288,361.44, 431,938.98 and 231,895.80 is: 347,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,361.44 : 431,938.98 = 231,895.80 : x
  2. Step 2: Convert to fraction form
    288,361.44/431,938.98 = 231,895.80/x
  3. Step 3: Cross multiply
    288,361.44x = 431,938.98 × 231,895.80
  4. Step 4: Simplify right side
    288,361.44x = 100,164,835,318.28
  5. Step 5: Solve for x
    x = 100,164,835,318.28/288,361.44
  6. Step 6: Final answer
    x = 347,358.63

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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.