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Finding the Fourth Proportional to 270,394.14, 405,639.69 and 92,855.10

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Solution

The fourth proportional to 270,394.14, 405,639.69 and 92,855.10 is: 139,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,394.14 : 405,639.69 = 92,855.10 : x
  2. Step 2: Convert to fraction form
    270,394.14/405,639.69 = 92,855.10/x
  3. Step 3: Cross multiply
    270,394.14x = 405,639.69 × 92,855.10
  4. Step 4: Simplify right side
    270,394.14x = 37,665,713,978.92
  5. Step 5: Solve for x
    x = 37,665,713,978.92/270,394.14
  6. Step 6: Final answer
    x = 139,299.30

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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.