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Finding the Fourth Proportional to 800,125, 1,200,778.26 and 379,402.36

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Solution

The fourth proportional to 800,125, 1,200,778.26 and 379,402.36 is: 569,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,125 : 1,200,778.26 = 379,402.36 : x
  2. Step 2: Convert to fraction form
    800,125/1,200,778.26 = 379,402.36/x
  3. Step 3: Cross multiply
    800,125x = 1,200,778.26 × 379,402.36
  4. Step 4: Simplify right side
    800,125x = 455,578,105,680.69
  5. Step 5: Solve for x
    x = 455,578,105,680.69/800,125
  6. Step 6: Final answer
    x = 569,383.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.