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Finding the Fourth Proportional to 356,755.92, 492,283.08 and 205,902.80

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Solution

The fourth proportional to 356,755.92, 492,283.08 and 205,902.80 is: 284,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,755.92 : 492,283.08 = 205,902.80 : x
  2. Step 2: Convert to fraction form
    356,755.92/492,283.08 = 205,902.80/x
  3. Step 3: Cross multiply
    356,755.92x = 492,283.08 × 205,902.80
  4. Step 4: Simplify right side
    356,755.92x = 101,362,464,564.62
  5. Step 5: Solve for x
    x = 101,362,464,564.62/356,755.92
  6. Step 6: Final answer
    x = 284,122.73

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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.