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Finding the Fourth Proportional to 381,645.91, 526,647.40 and 209,562.67

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Solution

The fourth proportional to 381,645.91, 526,647.40 and 209,562.67 is: 289,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645.91 : 526,647.40 = 209,562.67 : x
  2. Step 2: Convert to fraction form
    381,645.91/526,647.40 = 209,562.67/x
  3. Step 3: Cross multiply
    381,645.91x = 526,647.40 × 209,562.67
  4. Step 4: Simplify right side
    381,645.91x = 110,365,635,292.56
  5. Step 5: Solve for x
    x = 110,365,635,292.56/381,645.91
  6. Step 6: Final answer
    x = 289,183.33

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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.