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Finding the Fourth Proportional to 299,862.09, 449,866.89 and 211,288.59

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Solution

The fourth proportional to 299,862.09, 449,866.89 and 211,288.59 is: 316,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,862.09 : 449,866.89 = 211,288.59 : x
  2. Step 2: Convert to fraction form
    299,862.09/449,866.89 = 211,288.59/x
  3. Step 3: Cross multiply
    299,862.09x = 449,866.89 × 211,288.59
  4. Step 4: Simplify right side
    299,862.09x = 95,051,740,875.79
  5. Step 5: Solve for x
    x = 95,051,740,875.79/299,862.09
  6. Step 6: Final answer
    x = 316,984.85

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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.