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Finding the Fourth Proportional to 297,997.76, 411,236.90 and 163,861.76

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Solution

The fourth proportional to 297,997.76, 411,236.90 and 163,861.76 is: 226,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.76 : 411,236.90 = 163,861.76 : x
  2. Step 2: Convert to fraction form
    297,997.76/411,236.90 = 163,861.76/x
  3. Step 3: Cross multiply
    297,997.76x = 411,236.90 × 163,861.76
  4. Step 4: Simplify right side
    297,997.76x = 67,386,002,210.94
  5. Step 5: Solve for x
    x = 67,386,002,210.94/297,997.76
  6. Step 6: Final answer
    x = 226,129.22

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1.5x scale

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.