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Finding the Fourth Proportional to 271,928.40, 408,038.40 and 114,172.80

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Solution

The fourth proportional to 271,928.40, 408,038.40 and 114,172.80 is: 171,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.40 : 408,038.40 = 114,172.80 : x
  2. Step 2: Convert to fraction form
    271,928.40/408,038.40 = 114,172.80/x
  3. Step 3: Cross multiply
    271,928.40x = 408,038.40 × 114,172.80
  4. Step 4: Simplify right side
    271,928.40x = 46,586,886,635.52
  5. Step 5: Solve for x
    x = 46,586,886,635.52/271,928.40
  6. Step 6: Final answer
    x = 171,320.42

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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.