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Finding the Fourth Proportional to 431,313.68, 647,087.00 and 131,786.06

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Solution

The fourth proportional to 431,313.68, 647,087.00 and 131,786.06 is: 197,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,313.68 : 647,087.00 = 131,786.06 : x
  2. Step 2: Convert to fraction form
    431,313.68/647,087.00 = 131,786.06/x
  3. Step 3: Cross multiply
    431,313.68x = 647,087.00 × 131,786.06
  4. Step 4: Simplify right side
    431,313.68x = 85,277,042,312.85
  5. Step 5: Solve for x
    x = 85,277,042,312.85/431,313.68
  6. Step 6: Final answer
    x = 197,714.67

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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.