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Finding the Fourth Proportional to 309,408.51, 426,976.05 and 171,586.64

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Solution

The fourth proportional to 309,408.51, 426,976.05 and 171,586.64 is: 236,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,408.51 : 426,976.05 = 171,586.64 : x
  2. Step 2: Convert to fraction form
    309,408.51/426,976.05 = 171,586.64/x
  3. Step 3: Cross multiply
    309,408.51x = 426,976.05 × 171,586.64
  4. Step 4: Simplify right side
    309,408.51x = 73,263,383,645.09
  5. Step 5: Solve for x
    x = 73,263,383,645.09/309,408.51
  6. Step 6: Final answer
    x = 236,785.29

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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.