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Finding the Fourth Proportional to 297,995, 411,233.10 and 163,859

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Solution

The fourth proportional to 297,995, 411,233.10 and 163,859 is: 226,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,995 : 411,233.10 = 163,859 : x
  2. Step 2: Convert to fraction form
    297,995/411,233.10 = 163,859/x
  3. Step 3: Cross multiply
    297,995x = 411,233.10 × 163,859
  4. Step 4: Simplify right side
    297,995x = 67,384,244,532.90
  5. Step 5: Solve for x
    x = 67,384,244,532.90/297,995
  6. Step 6: Final answer
    x = 226,125.42

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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.