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Finding the Fourth Proportional to 271,494.42, 374,696.58 and 178,438.78

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Solution

The fourth proportional to 271,494.42, 374,696.58 and 178,438.78 is: 246,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,494.42 : 374,696.58 = 178,438.78 : x
  2. Step 2: Convert to fraction form
    271,494.42/374,696.58 = 178,438.78/x
  3. Step 3: Cross multiply
    271,494.42x = 374,696.58 × 178,438.78
  4. Step 4: Simplify right side
    271,494.42x = 66,860,400,605.37
  5. Step 5: Solve for x
    x = 66,860,400,605.37/271,494.42
  6. Step 6: Final answer
    x = 246,268.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.