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Finding the Fourth Proportional to 397,778.72, 596,608.80 and 131,540.63

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Solution

The fourth proportional to 397,778.72, 596,608.80 and 131,540.63 is: 197,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,778.72 : 596,608.80 = 131,540.63 : x
  2. Step 2: Convert to fraction form
    397,778.72/596,608.80 = 131,540.63/x
  3. Step 3: Cross multiply
    397,778.72x = 596,608.80 × 131,540.63
  4. Step 4: Simplify right side
    397,778.72x = 78,478,297,415.54
  5. Step 5: Solve for x
    x = 78,478,297,415.54/397,778.72
  6. Step 6: Final answer
    x = 197,291.34

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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.