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Finding the Fourth Proportional to 378,964.76, 522,971.46 and 209,199

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Solution

The fourth proportional to 378,964.76, 522,971.46 and 209,199 is: 288,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,964.76 : 522,971.46 = 209,199 : x
  2. Step 2: Convert to fraction form
    378,964.76/522,971.46 = 209,199/x
  3. Step 3: Cross multiply
    378,964.76x = 522,971.46 × 209,199
  4. Step 4: Simplify right side
    378,964.76x = 109,405,106,460.54
  5. Step 5: Solve for x
    x = 109,405,106,460.54/378,964.76
  6. Step 6: Final answer
    x = 288,694.67

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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.