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Finding the Fourth Proportional to 379,441.56, 523,608.78 and 209,664.78

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Solution

The fourth proportional to 379,441.56, 523,608.78 and 209,664.78 is: 289,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,441.56 : 523,608.78 = 209,664.78 : x
  2. Step 2: Convert to fraction form
    379,441.56/523,608.78 = 209,664.78/x
  3. Step 3: Cross multiply
    379,441.56x = 523,608.78 × 209,664.78
  4. Step 4: Simplify right side
    379,441.56x = 109,782,319,664.77
  5. Step 5: Solve for x
    x = 109,782,319,664.77/379,441.56
  6. Step 6: Final answer
    x = 289,326.03

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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.