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Finding the Fourth Proportional to 271,431.54, 407,081.70 and 113,778

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Solution

The fourth proportional to 271,431.54, 407,081.70 and 113,778 is: 170,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,431.54 : 407,081.70 = 113,778 : x
  2. Step 2: Convert to fraction form
    271,431.54/407,081.70 = 113,778/x
  3. Step 3: Cross multiply
    271,431.54x = 407,081.70 × 113,778
  4. Step 4: Simplify right side
    271,431.54x = 46,316,941,662.60
  5. Step 5: Solve for x
    x = 46,316,941,662.60/271,431.54
  6. Step 6: Final answer
    x = 170,639.50

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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.