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Finding the Fourth Proportional to 308,018, 462,027 and 111,026

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Solution

The fourth proportional to 308,018, 462,027 and 111,026 is: 166,539

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,018 : 462,027 = 111,026 : x
  2. Step 2: Convert to fraction form
    308,018/462,027 = 111,026/x
  3. Step 3: Cross multiply
    308,018x = 462,027 × 111,026
  4. Step 4: Simplify right side
    308,018x = 51,297,009,702
  5. Step 5: Solve for x
    x = 51,297,009,702/308,018
  6. Step 6: Final answer
    x = 166,539

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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.