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Finding the Fourth Proportional to 492,949.86, 679,654.44 and 411,395.44

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Solution

The fourth proportional to 492,949.86, 679,654.44 and 411,395.44 is: 567,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,949.86 : 679,654.44 = 411,395.44 : x
  2. Step 2: Convert to fraction form
    492,949.86/679,654.44 = 411,395.44/x
  3. Step 3: Cross multiply
    492,949.86x = 679,654.44 × 411,395.44
  4. Step 4: Simplify right side
    492,949.86x = 279,606,737,391.75
  5. Step 5: Solve for x
    x = 279,606,737,391.75/492,949.86
  6. Step 6: Final answer
    x = 567,211.31

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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.