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Finding the Fourth Proportional to 397,408.75, 595,967.33 and 131,090.47

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Solution

The fourth proportional to 397,408.75, 595,967.33 and 131,090.47 is: 196,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.75 : 595,967.33 = 131,090.47 : x
  2. Step 2: Convert to fraction form
    397,408.75/595,967.33 = 131,090.47/x
  3. Step 3: Cross multiply
    397,408.75x = 595,967.33 × 131,090.47
  4. Step 4: Simplify right side
    397,408.75x = 78,125,636,738.89
  5. Step 5: Solve for x
    x = 78,125,636,738.89/397,408.75
  6. Step 6: Final answer
    x = 196,587.61

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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.