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Finding the Fourth Proportional to 509,140.69, 763,749.30 and 154,183.30

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Solution

The fourth proportional to 509,140.69, 763,749.30 and 154,183.30 is: 231,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,140.69 : 763,749.30 = 154,183.30 : x
  2. Step 2: Convert to fraction form
    509,140.69/763,749.30 = 154,183.30/x
  3. Step 3: Cross multiply
    509,140.69x = 763,749.30 × 154,183.30
  4. Step 4: Simplify right side
    509,140.69x = 117,757,387,446.69
  5. Step 5: Solve for x
    x = 117,757,387,446.69/509,140.69
  6. Step 6: Final answer
    x = 231,286.54

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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.