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Finding the Fourth Proportional to 299,861.58, 449,866.19 and 211,288.06

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Solution

The fourth proportional to 299,861.58, 449,866.19 and 211,288.06 is: 316,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,861.58 : 449,866.19 = 211,288.06 : x
  2. Step 2: Convert to fraction form
    299,861.58/449,866.19 = 211,288.06/x
  3. Step 3: Cross multiply
    299,861.58x = 449,866.19 × 211,288.06
  4. Step 4: Simplify right side
    299,861.58x = 95,051,354,544.69
  5. Step 5: Solve for x
    x = 95,051,354,544.69/299,861.58
  6. Step 6: Final answer
    x = 316,984.10

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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.