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Finding the Fourth Proportional to 568,170.78, 852,034.68 and 212,991

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Solution

The fourth proportional to 568,170.78, 852,034.68 and 212,991 is: 319,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,170.78 : 852,034.68 = 212,991 : x
  2. Step 2: Convert to fraction form
    568,170.78/852,034.68 = 212,991/x
  3. Step 3: Cross multiply
    568,170.78x = 852,034.68 × 212,991
  4. Step 4: Simplify right side
    568,170.78x = 181,475,718,527.88
  5. Step 5: Solve for x
    x = 181,475,718,527.88/568,170.78
  6. Step 6: Final answer
    x = 319,403.47

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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.