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Finding the Fourth Proportional to 297,385.42, 410,380.90 and 161,416.49

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Solution

The fourth proportional to 297,385.42, 410,380.90 and 161,416.49 is: 222,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,385.42 : 410,380.90 = 161,416.49 : x
  2. Step 2: Convert to fraction form
    297,385.42/410,380.90 = 161,416.49/x
  3. Step 3: Cross multiply
    297,385.42x = 410,380.90 × 161,416.49
  4. Step 4: Simplify right side
    297,385.42x = 66,242,241,582.05
  5. Step 5: Solve for x
    x = 66,242,241,582.05/297,385.42
  6. Step 6: Final answer
    x = 222,748.79

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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.