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Finding the Fourth Proportional to 379,676.56, 523,964.56 and 209,921.60

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Solution

The fourth proportional to 379,676.56, 523,964.56 and 209,921.60 is: 289,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,676.56 : 523,964.56 = 209,921.60 : x
  2. Step 2: Convert to fraction form
    379,676.56/523,964.56 = 209,921.60/x
  3. Step 3: Cross multiply
    379,676.56x = 523,964.56 × 209,921.60
  4. Step 4: Simplify right side
    379,676.56x = 109,991,478,778.50
  5. Step 5: Solve for x
    x = 109,991,478,778.50/379,676.56
  6. Step 6: Final answer
    x = 289,697.84

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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.