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Finding the Fourth Proportional to 274,530.78, 411,791.85 and 87,541.02

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Solution

The fourth proportional to 274,530.78, 411,791.85 and 87,541.02 is: 131,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,530.78 : 411,791.85 = 87,541.02 : x
  2. Step 2: Convert to fraction form
    274,530.78/411,791.85 = 87,541.02/x
  3. Step 3: Cross multiply
    274,530.78x = 411,791.85 × 87,541.02
  4. Step 4: Simplify right side
    274,530.78x = 36,048,678,576.69
  5. Step 5: Solve for x
    x = 36,048,678,576.69/274,530.78
  6. Step 6: Final answer
    x = 131,310.15

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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.