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Finding the Fourth Proportional to 357,978.38, 493,997.51 and 196,832.30

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Solution

The fourth proportional to 357,978.38, 493,997.51 and 196,832.30 is: 271,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,978.38 : 493,997.51 = 196,832.30 : x
  2. Step 2: Convert to fraction form
    357,978.38/493,997.51 = 196,832.30/x
  3. Step 3: Cross multiply
    357,978.38x = 493,997.51 × 196,832.30
  4. Step 4: Simplify right side
    357,978.38x = 97,234,664,109.67
  5. Step 5: Solve for x
    x = 97,234,664,109.67/357,978.38
  6. Step 6: Final answer
    x = 271,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.