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Finding the Fourth Proportional to 431,064.26, 646,596.40 and 131,546.41

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Solution

The fourth proportional to 431,064.26, 646,596.40 and 131,546.41 is: 197,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,064.26 : 646,596.40 = 131,546.41 : x
  2. Step 2: Convert to fraction form
    431,064.26/646,596.40 = 131,546.41/x
  3. Step 3: Cross multiply
    431,064.26x = 646,596.40 × 131,546.41
  4. Step 4: Simplify right side
    431,064.26x = 85,057,431,905.94
  5. Step 5: Solve for x
    x = 85,057,431,905.94/431,064.26
  6. Step 6: Final answer
    x = 197,319.61

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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.