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Finding the Fourth Proportional to 297,879.77, 411,082.07 and 161,922.86

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Solution

The fourth proportional to 297,879.77, 411,082.07 and 161,922.86 is: 223,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,879.77 : 411,082.07 = 161,922.86 : x
  2. Step 2: Convert to fraction form
    297,879.77/411,082.07 = 161,922.86/x
  3. Step 3: Cross multiply
    297,879.77x = 411,082.07 × 161,922.86
  4. Step 4: Simplify right side
    297,879.77x = 66,563,585,317.67
  5. Step 5: Solve for x
    x = 66,563,585,317.67/297,879.77
  6. Step 6: Final answer
    x = 223,457.89

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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.