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Finding the Fourth Proportional to 210,272.40, 315,408.60 and 131,540.40

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Solution

The fourth proportional to 210,272.40, 315,408.60 and 131,540.40 is: 197,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,272.40 : 315,408.60 = 131,540.40 : x
  2. Step 2: Convert to fraction form
    210,272.40/315,408.60 = 131,540.40/x
  3. Step 3: Cross multiply
    210,272.40x = 315,408.60 × 131,540.40
  4. Step 4: Simplify right side
    210,272.40x = 41,488,973,407.44
  5. Step 5: Solve for x
    x = 41,488,973,407.44/210,272.40
  6. Step 6: Final answer
    x = 197,310.60

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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.