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Finding the Fourth Proportional to 381,375.29, 526,279.76 and 209,289.37

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Solution

The fourth proportional to 381,375.29, 526,279.76 and 209,289.37 is: 288,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,375.29 : 526,279.76 = 209,289.37 : x
  2. Step 2: Convert to fraction form
    381,375.29/526,279.76 = 209,289.37/x
  3. Step 3: Cross multiply
    381,375.29x = 526,279.76 × 209,289.37
  4. Step 4: Simplify right side
    381,375.29x = 110,144,758,234.99
  5. Step 5: Solve for x
    x = 110,144,758,234.99/381,375.29
  6. Step 6: Final answer
    x = 288,809.37

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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.