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Finding the Fourth Proportional to 297,857.72, 411,046.40 and 161,891.98

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Solution

The fourth proportional to 297,857.72, 411,046.40 and 161,891.98 is: 223,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,857.72 : 411,046.40 = 161,891.98 : x
  2. Step 2: Convert to fraction form
    297,857.72/411,046.40 = 161,891.98/x
  3. Step 3: Cross multiply
    297,857.72x = 411,046.40 × 161,891.98
  4. Step 4: Simplify right side
    297,857.72x = 66,545,114,944.99
  5. Step 5: Solve for x
    x = 66,545,114,944.99/297,857.72
  6. Step 6: Final answer
    x = 223,412.42

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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.