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Finding the Fourth Proportional to 512,842.73, 768,598.34 and 208,882.40

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Solution

The fourth proportional to 512,842.73, 768,598.34 and 208,882.40 is: 313,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,842.73 : 768,598.34 = 208,882.40 : x
  2. Step 2: Convert to fraction form
    512,842.73/768,598.34 = 208,882.40/x
  3. Step 3: Cross multiply
    512,842.73x = 768,598.34 × 208,882.40
  4. Step 4: Simplify right side
    512,842.73x = 160,546,661,007.81
  5. Step 5: Solve for x
    x = 160,546,661,007.81/512,842.73
  6. Step 6: Final answer
    x = 313,052.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.