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Finding the Fourth Proportional to 297,855.82, 411,043.47 and 161,889.80

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Solution

The fourth proportional to 297,855.82, 411,043.47 and 161,889.80 is: 223,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,855.82 : 411,043.47 = 161,889.80 : x
  2. Step 2: Convert to fraction form
    297,855.82/411,043.47 = 161,889.80/x
  3. Step 3: Cross multiply
    297,855.82x = 411,043.47 × 161,889.80
  4. Step 4: Simplify right side
    297,855.82x = 66,543,745,149.61
  5. Step 5: Solve for x
    x = 66,543,745,149.61/297,855.82
  6. Step 6: Final answer
    x = 223,409.25

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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.