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Finding the Fourth Proportional to 413,683.07, 620,711.73 and 211,174.56

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Solution

The fourth proportional to 413,683.07, 620,711.73 and 211,174.56 is: 316,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,683.07 : 620,711.73 = 211,174.56 : x
  2. Step 2: Convert to fraction form
    413,683.07/620,711.73 = 211,174.56/x
  3. Step 3: Cross multiply
    413,683.07x = 620,711.73 × 211,174.56
  4. Step 4: Simplify right side
    413,683.07x = 131,078,526,469.59
  5. Step 5: Solve for x
    x = 131,078,526,469.59/413,683.07
  6. Step 6: Final answer
    x = 316,857.37

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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.