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Finding the Fourth Proportional to 271,798.10, 407,729.57 and 131,455.88

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Solution

The fourth proportional to 271,798.10, 407,729.57 and 131,455.88 is: 197,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,798.10 : 407,729.57 = 131,455.88 : x
  2. Step 2: Convert to fraction form
    271,798.10/407,729.57 = 131,455.88/x
  3. Step 3: Cross multiply
    271,798.10x = 407,729.57 × 131,455.88
  4. Step 4: Simplify right side
    271,798.10x = 53,598,446,730.44
  5. Step 5: Solve for x
    x = 53,598,446,730.44/271,798.10
  6. Step 6: Final answer
    x = 197,199.49

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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.