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Finding the Fourth Proportional to 306,277, 422,662.28 and 172,141

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Solution

The fourth proportional to 306,277, 422,662.28 and 172,141 is: 237,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,277 : 422,662.28 = 172,141 : x
  2. Step 2: Convert to fraction form
    306,277/422,662.28 = 172,141/x
  3. Step 3: Cross multiply
    306,277x = 422,662.28 × 172,141
  4. Step 4: Simplify right side
    306,277x = 72,757,507,541.48
  5. Step 5: Solve for x
    x = 72,757,507,541.48/306,277
  6. Step 6: Final answer
    x = 237,554.59

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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.