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Finding the Fourth Proportional to 311,880.72, 467,743.08 and 122,379.60

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Solution

The fourth proportional to 311,880.72, 467,743.08 and 122,379.60 is: 183,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,880.72 : 467,743.08 = 122,379.60 : x
  2. Step 2: Convert to fraction form
    311,880.72/467,743.08 = 122,379.60/x
  3. Step 3: Cross multiply
    311,880.72x = 467,743.08 × 122,379.60
  4. Step 4: Simplify right side
    311,880.72x = 57,242,211,033.17
  5. Step 5: Solve for x
    x = 57,242,211,033.17/311,880.72
  6. Step 6: Final answer
    x = 183,538.79

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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.