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Finding the Fourth Proportional to 228,408.86, 342,636.11 and 78,629.33

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Solution

The fourth proportional to 228,408.86, 342,636.11 and 78,629.33 is: 117,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,408.86 : 342,636.11 = 78,629.33 : x
  2. Step 2: Convert to fraction form
    228,408.86/342,636.11 = 78,629.33/x
  3. Step 3: Cross multiply
    228,408.86x = 342,636.11 × 78,629.33
  4. Step 4: Simplify right side
    228,408.86x = 26,941,245,656.78
  5. Step 5: Solve for x
    x = 26,941,245,656.78/228,408.86
  6. Step 6: Final answer
    x = 117,951.84

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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.