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Finding the Fourth Proportional to 299,638.40, 449,322.24 and 159,367.04

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Solution

The fourth proportional to 299,638.40, 449,322.24 and 159,367.04 is: 238,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638.40 : 449,322.24 = 159,367.04 : x
  2. Step 2: Convert to fraction form
    299,638.40/449,322.24 = 159,367.04/x
  3. Step 3: Cross multiply
    299,638.40x = 449,322.24 × 159,367.04
  4. Step 4: Simplify right side
    299,638.40x = 71,607,155,394.97
  5. Step 5: Solve for x
    x = 71,607,155,394.97/299,638.40
  6. Step 6: Final answer
    x = 238,978.57

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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.