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Finding the Fourth Proportional to 288,359.94, 431,936.73 and 231,894.30

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Solution

The fourth proportional to 288,359.94, 431,936.73 and 231,894.30 is: 347,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,359.94 : 431,936.73 = 231,894.30 : x
  2. Step 2: Convert to fraction form
    288,359.94/431,936.73 = 231,894.30/x
  3. Step 3: Cross multiply
    288,359.94x = 431,936.73 × 231,894.30
  4. Step 4: Simplify right side
    288,359.94x = 100,163,665,647.64
  5. Step 5: Solve for x
    x = 100,163,665,647.64/288,359.94
  6. Step 6: Final answer
    x = 347,356.38

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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.