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Finding the Fourth Proportional to 297,997, 411,235.86 and 163,861

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Solution

The fourth proportional to 297,997, 411,235.86 and 163,861 is: 226,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997 : 411,235.86 = 163,861 : x
  2. Step 2: Convert to fraction form
    297,997/411,235.86 = 163,861/x
  3. Step 3: Cross multiply
    297,997x = 411,235.86 × 163,861
  4. Step 4: Simplify right side
    297,997x = 67,385,519,255.46
  5. Step 5: Solve for x
    x = 67,385,519,255.46/297,997
  6. Step 6: Final answer
    x = 226,128.18

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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.