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Finding the Fourth Proportional to 397,685.56, 596,401.98 and 131,396.44

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Solution

The fourth proportional to 397,685.56, 596,401.98 and 131,396.44 is: 197,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,685.56 : 596,401.98 = 131,396.44 : x
  2. Step 2: Convert to fraction form
    397,685.56/596,401.98 = 131,396.44/x
  3. Step 3: Cross multiply
    397,685.56x = 596,401.98 × 131,396.44
  4. Step 4: Simplify right side
    397,685.56x = 78,365,096,980.95
  5. Step 5: Solve for x
    x = 78,365,096,980.95/397,685.56
  6. Step 6: Final answer
    x = 197,052.91

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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.