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Finding the Fourth Proportional to 300,111.96, 449,668.11 and 211,178.61

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Solution

The fourth proportional to 300,111.96, 449,668.11 and 211,178.61 is: 316,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,111.96 : 449,668.11 = 211,178.61 : x
  2. Step 2: Convert to fraction form
    300,111.96/449,668.11 = 211,178.61/x
  3. Step 3: Cross multiply
    300,111.96x = 449,668.11 × 211,178.61
  4. Step 4: Simplify right side
    300,111.96x = 94,960,286,431.13
  5. Step 5: Solve for x
    x = 94,960,286,431.13/300,111.96
  6. Step 6: Final answer
    x = 316,416.20

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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.