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Finding the Fourth Proportional to 405,144.72, 607,388.22 and 168,664.41

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Solution

The fourth proportional to 405,144.72, 607,388.22 and 168,664.41 is: 252,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,144.72 : 607,388.22 = 168,664.41 : x
  2. Step 2: Convert to fraction form
    405,144.72/607,388.22 = 168,664.41/x
  3. Step 3: Cross multiply
    405,144.72x = 607,388.22 × 168,664.41
  4. Step 4: Simplify right side
    405,144.72x = 102,444,775,767.25
  5. Step 5: Solve for x
    x = 102,444,775,767.25/405,144.72
  6. Step 6: Final answer
    x = 252,859.71

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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.