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Finding the Fourth Proportional to 342,227.86, 512,914.11 and 164,687.20

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Solution

The fourth proportional to 342,227.86, 512,914.11 and 164,687.20 is: 246,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.86 : 512,914.11 = 164,687.20 : x
  2. Step 2: Convert to fraction form
    342,227.86/512,914.11 = 164,687.20/x
  3. Step 3: Cross multiply
    342,227.86x = 512,914.11 × 164,687.20
  4. Step 4: Simplify right side
    342,227.86x = 84,470,388,616.39
  5. Step 5: Solve for x
    x = 84,470,388,616.39/342,227.86
  6. Step 6: Final answer
    x = 246,824.99

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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.