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Finding the Fourth Proportional to 379,699.31, 523,996.02 and 209,944.37

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Solution

The fourth proportional to 379,699.31, 523,996.02 and 209,944.37 is: 289,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,699.31 : 523,996.02 = 209,944.37 : x
  2. Step 2: Convert to fraction form
    379,699.31/523,996.02 = 209,944.37/x
  3. Step 3: Cross multiply
    379,699.31x = 523,996.02 × 209,944.37
  4. Step 4: Simplify right side
    379,699.31x = 110,010,015,611.40
  5. Step 5: Solve for x
    x = 110,010,015,611.40/379,699.31
  6. Step 6: Final answer
    x = 289,729.30

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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.