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Finding the Fourth Proportional to 297,986.37, 411,222.87 and 162,021.66

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Solution

The fourth proportional to 297,986.37, 411,222.87 and 162,021.66 is: 223,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,986.37 : 411,222.87 = 162,021.66 : x
  2. Step 2: Convert to fraction form
    297,986.37/411,222.87 = 162,021.66/x
  3. Step 3: Cross multiply
    297,986.37x = 411,222.87 × 162,021.66
  4. Step 4: Simplify right side
    297,986.37x = 66,627,012,027.36
  5. Step 5: Solve for x
    x = 66,627,012,027.36/297,986.37
  6. Step 6: Final answer
    x = 223,590.80

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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.