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Finding the Fourth Proportional to 307,906.87, 424,874.01 and 171,948.37

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Solution

The fourth proportional to 307,906.87, 424,874.01 and 171,948.37 is: 237,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,906.87 : 424,874.01 = 171,948.37 : x
  2. Step 2: Convert to fraction form
    307,906.87/424,874.01 = 171,948.37/x
  3. Step 3: Cross multiply
    307,906.87x = 424,874.01 × 171,948.37
  4. Step 4: Simplify right side
    307,906.87x = 73,056,393,474.86
  5. Step 5: Solve for x
    x = 73,056,393,474.86/307,906.87
  6. Step 6: Final answer
    x = 237,267.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.