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Finding the Fourth Proportional to 299,415.86, 449,358.41 and 208,869.62

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Solution

The fourth proportional to 299,415.86, 449,358.41 and 208,869.62 is: 313,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,415.86 : 449,358.41 = 208,869.62 : x
  2. Step 2: Convert to fraction form
    299,415.86/449,358.41 = 208,869.62/x
  3. Step 3: Cross multiply
    299,415.86x = 449,358.41 × 208,869.62
  4. Step 4: Simplify right side
    299,415.86x = 93,857,321,986.07
  5. Step 5: Solve for x
    x = 93,857,321,986.07/299,415.86
  6. Step 6: Final answer
    x = 313,468.11

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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.