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Finding the Fourth Proportional to 305,684.50, 421,883.49 and 171,548.50

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Solution

The fourth proportional to 305,684.50, 421,883.49 and 171,548.50 is: 236,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,684.50 : 421,883.49 = 171,548.50 : x
  2. Step 2: Convert to fraction form
    305,684.50/421,883.49 = 171,548.50/x
  3. Step 3: Cross multiply
    305,684.50x = 421,883.49 × 171,548.50
  4. Step 4: Simplify right side
    305,684.50x = 72,373,479,884.27
  5. Step 5: Solve for x
    x = 72,373,479,884.27/305,684.50
  6. Step 6: Final answer
    x = 236,758.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.