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Finding the Fourth Proportional to 310,537.08, 428,236.74 and 197,163

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Solution

The fourth proportional to 310,537.08, 428,236.74 and 197,163 is: 271,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537.08 : 428,236.74 = 197,163 : x
  2. Step 2: Convert to fraction form
    310,537.08/428,236.74 = 197,163/x
  3. Step 3: Cross multiply
    310,537.08x = 428,236.74 × 197,163
  4. Step 4: Simplify right side
    310,537.08x = 84,432,440,368.62
  5. Step 5: Solve for x
    x = 84,432,440,368.62/310,537.08
  6. Step 6: Final answer
    x = 271,891.65

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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.