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Finding the Fourth Proportional to 381,880.04, 526,994.65 and 209,809.09

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Solution

The fourth proportional to 381,880.04, 526,994.65 and 209,809.09 is: 289,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,880.04 : 526,994.65 = 209,809.09 : x
  2. Step 2: Convert to fraction form
    381,880.04/526,994.65 = 209,809.09/x
  3. Step 3: Cross multiply
    381,880.04x = 526,994.65 × 209,809.09
  4. Step 4: Simplify right side
    381,880.04x = 110,568,268,872.37
  5. Step 5: Solve for x
    x = 110,568,268,872.37/381,880.04
  6. Step 6: Final answer
    x = 289,536.66

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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.