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Finding the Fourth Proportional to 271,785.72, 407,711.00 and 131,443.50

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Solution

The fourth proportional to 271,785.72, 407,711.00 and 131,443.50 is: 197,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,785.72 : 407,711.00 = 131,443.50 : x
  2. Step 2: Convert to fraction form
    271,785.72/407,711.00 = 131,443.50/x
  3. Step 3: Cross multiply
    271,785.72x = 407,711.00 × 131,443.50
  4. Step 4: Simplify right side
    271,785.72x = 53,590,961,157.11
  5. Step 5: Solve for x
    x = 53,590,961,157.11/271,785.72
  6. Step 6: Final answer
    x = 197,180.93

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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.