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Finding the Fourth Proportional to 568,199.78, 852,078.18 and 213,020

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Solution

The fourth proportional to 568,199.78, 852,078.18 and 213,020 is: 319,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,199.78 : 852,078.18 = 213,020 : x
  2. Step 2: Convert to fraction form
    568,199.78/852,078.18 = 213,020/x
  3. Step 3: Cross multiply
    568,199.78x = 852,078.18 × 213,020
  4. Step 4: Simplify right side
    568,199.78x = 181,509,693,903.60
  5. Step 5: Solve for x
    x = 181,509,693,903.60/568,199.78
  6. Step 6: Final answer
    x = 319,446.96

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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.