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Finding the Fourth Proportional to 274,576, 412,155.14 and 243,189.81

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Solution

The fourth proportional to 274,576, 412,155.14 and 243,189.81 is: 365,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,576 : 412,155.14 = 243,189.81 : x
  2. Step 2: Convert to fraction form
    274,576/412,155.14 = 243,189.81/x
  3. Step 3: Cross multiply
    274,576x = 412,155.14 × 243,189.81
  4. Step 4: Simplify right side
    274,576x = 100,231,930,187.12
  5. Step 5: Solve for x
    x = 100,231,930,187.12/274,576
  6. Step 6: Final answer
    x = 365,042.58

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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.