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Finding the Fourth Proportional to 288,083.10, 431,757.45 and 161,723.10

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Solution

The fourth proportional to 288,083.10, 431,757.45 and 161,723.10 is: 242,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,083.10 : 431,757.45 = 161,723.10 : x
  2. Step 2: Convert to fraction form
    288,083.10/431,757.45 = 161,723.10/x
  3. Step 3: Cross multiply
    288,083.10x = 431,757.45 × 161,723.10
  4. Step 4: Simplify right side
    288,083.10x = 69,825,153,262.10
  5. Step 5: Solve for x
    x = 69,825,153,262.10/288,083.10
  6. Step 6: Final answer
    x = 242,378.51

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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.