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Finding the Fourth Proportional to 299,671.40, 449,511 and 99,991.79

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Solution

The fourth proportional to 299,671.40, 449,511 and 99,991.79 is: 149,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,671.40 : 449,511 = 99,991.79 : x
  2. Step 2: Convert to fraction form
    299,671.40/449,511 = 99,991.79/x
  3. Step 3: Cross multiply
    299,671.40x = 449,511 × 99,991.79
  4. Step 4: Simplify right side
    299,671.40x = 44,947,409,514.69
  5. Step 5: Solve for x
    x = 44,947,409,514.69/299,671.40
  6. Step 6: Final answer
    x = 149,988.99

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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.