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Finding the Fourth Proportional to 270,432, 405,561.74 and 92,896.20

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Solution

The fourth proportional to 270,432, 405,561.74 and 92,896.20 is: 139,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432 : 405,561.74 = 92,896.20 : x
  2. Step 2: Convert to fraction form
    270,432/405,561.74 = 92,896.20/x
  3. Step 3: Cross multiply
    270,432x = 405,561.74 × 92,896.20
  4. Step 4: Simplify right side
    270,432x = 37,675,144,046.91
  5. Step 5: Solve for x
    x = 37,675,144,046.91/270,432
  6. Step 6: Final answer
    x = 139,314.67

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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.