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Finding the Fourth Proportional to 342,408.36, 513,721.90 and 164,933.32

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Solution

The fourth proportional to 342,408.36, 513,721.90 and 164,933.32 is: 247,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,408.36 : 513,721.90 = 164,933.32 : x
  2. Step 2: Convert to fraction form
    342,408.36/513,721.90 = 164,933.32/x
  3. Step 3: Cross multiply
    342,408.36x = 513,721.90 × 164,933.32
  4. Step 4: Simplify right side
    342,408.36x = 84,729,858,523.71
  5. Step 5: Solve for x
    x = 84,729,858,523.71/342,408.36
  6. Step 6: Final answer
    x = 247,452.66

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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.