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Finding the Fourth Proportional to 342,408.81, 513,512.91 and 129,022.77

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Solution

The fourth proportional to 342,408.81, 513,512.91 and 129,022.77 is: 193,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,408.81 : 513,512.91 = 129,022.77 : x
  2. Step 2: Convert to fraction form
    342,408.81/513,512.91 = 129,022.77/x
  3. Step 3: Cross multiply
    342,408.81x = 513,512.91 × 129,022.77
  4. Step 4: Simplify right side
    342,408.81x = 66,254,858,078.96
  5. Step 5: Solve for x
    x = 66,254,858,078.96/342,408.81
  6. Step 6: Final answer
    x = 193,496.36

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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.