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Finding the Fourth Proportional to 271,716.75, 407,181.20 and 153,135.72

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Solution

The fourth proportional to 271,716.75, 407,181.20 and 153,135.72 is: 229,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716.75 : 407,181.20 = 153,135.72 : x
  2. Step 2: Convert to fraction form
    271,716.75/407,181.20 = 153,135.72/x
  3. Step 3: Cross multiply
    271,716.75x = 407,181.20 × 153,135.72
  4. Step 4: Simplify right side
    271,716.75x = 62,353,985,466.79
  5. Step 5: Solve for x
    x = 62,353,985,466.79/271,716.75
  6. Step 6: Final answer
    x = 229,481.57

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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.