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Finding the Fourth Proportional to 376,584, 519,732 and 217,608

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Solution

The fourth proportional to 376,584, 519,732 and 217,608 is: 300,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,584 : 519,732 = 217,608 : x
  2. Step 2: Convert to fraction form
    376,584/519,732 = 217,608/x
  3. Step 3: Cross multiply
    376,584x = 519,732 × 217,608
  4. Step 4: Simplify right side
    376,584x = 113,097,841,056
  5. Step 5: Solve for x
    x = 113,097,841,056/376,584
  6. Step 6: Final answer
    x = 300,325.67

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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.