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Finding the Fourth Proportional to 299,859.10, 449,511.86 and 149,968.96

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Solution

The fourth proportional to 299,859.10, 449,511.86 and 149,968.96 is: 224,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,859.10 : 449,511.86 = 149,968.96 : x
  2. Step 2: Convert to fraction form
    299,859.10/449,511.86 = 149,968.96/x
  3. Step 3: Cross multiply
    299,859.10x = 449,511.86 × 149,968.96
  4. Step 4: Simplify right side
    299,859.10x = 67,412,826,151.87
  5. Step 5: Solve for x
    x = 67,412,826,151.87/299,859.10
  6. Step 6: Final answer
    x = 224,815.01

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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.