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Finding the Fourth Proportional to 271,988.16, 407,391.36 and 131,452

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Solution

The fourth proportional to 271,988.16, 407,391.36 and 131,452 is: 196,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,988.16 : 407,391.36 = 131,452 : x
  2. Step 2: Convert to fraction form
    271,988.16/407,391.36 = 131,452/x
  3. Step 3: Cross multiply
    271,988.16x = 407,391.36 × 131,452
  4. Step 4: Simplify right side
    271,988.16x = 53,552,409,054.72
  5. Step 5: Solve for x
    x = 53,552,409,054.72/271,988.16
  6. Step 6: Final answer
    x = 196,892.43

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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.