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Finding the Fourth Proportional to 397,850, 596,775 and 135,194

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Solution

The fourth proportional to 397,850, 596,775 and 135,194 is: 202,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,850 : 596,775 = 135,194 : x
  2. Step 2: Convert to fraction form
    397,850/596,775 = 135,194/x
  3. Step 3: Cross multiply
    397,850x = 596,775 × 135,194
  4. Step 4: Simplify right side
    397,850x = 80,680,399,350
  5. Step 5: Solve for x
    x = 80,680,399,350/397,850
  6. Step 6: Final answer
    x = 202,791

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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.