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Finding the Fourth Proportional to 309,408.58, 464,145.27 and 131,934.34

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Solution

The fourth proportional to 309,408.58, 464,145.27 and 131,934.34 is: 197,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,408.58 : 464,145.27 = 131,934.34 : x
  2. Step 2: Convert to fraction form
    309,408.58/464,145.27 = 131,934.34/x
  3. Step 3: Cross multiply
    309,408.58x = 464,145.27 × 131,934.34
  4. Step 4: Simplify right side
    309,408.58x = 61,236,699,861.57
  5. Step 5: Solve for x
    x = 61,236,699,861.57/309,408.58
  6. Step 6: Final answer
    x = 197,915.33

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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.