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Finding the Fourth Proportional to 271,928.63, 407,850.83 and 138,907.19

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Solution

The fourth proportional to 271,928.63, 407,850.83 and 138,907.19 is: 208,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.63 : 407,850.83 = 138,907.19 : x
  2. Step 2: Convert to fraction form
    271,928.63/407,850.83 = 138,907.19/x
  3. Step 3: Cross multiply
    271,928.63x = 407,850.83 × 138,907.19
  4. Step 4: Simplify right side
    271,928.63x = 56,653,413,580.46
  5. Step 5: Solve for x
    x = 56,653,413,580.46/271,928.63
  6. Step 6: Final answer
    x = 208,339.27

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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.