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Finding the Fourth Proportional to 381,370.50, 526,290.89 and 209,289.44

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Solution

The fourth proportional to 381,370.50, 526,290.89 and 209,289.44 is: 288,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,370.50 : 526,290.89 = 209,289.44 : x
  2. Step 2: Convert to fraction form
    381,370.50/526,290.89 = 209,289.44/x
  3. Step 3: Cross multiply
    381,370.50x = 526,290.89 × 209,289.44
  4. Step 4: Simplify right side
    381,370.50x = 110,147,125,914.48
  5. Step 5: Solve for x
    x = 110,147,125,914.48/381,370.50
  6. Step 6: Final answer
    x = 288,819.21

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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.