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Finding the Fourth Proportional to 271,689.56, 407,004.19 and 177,911

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Solution

The fourth proportional to 271,689.56, 407,004.19 and 177,911 is: 266,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,689.56 : 407,004.19 = 177,911 : x
  2. Step 2: Convert to fraction form
    271,689.56/407,004.19 = 177,911/x
  3. Step 3: Cross multiply
    271,689.56x = 407,004.19 × 177,911
  4. Step 4: Simplify right side
    271,689.56x = 72,410,522,447.09
  5. Step 5: Solve for x
    x = 72,410,522,447.09/271,689.56
  6. Step 6: Final answer
    x = 266,519.34

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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.