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Finding the Fourth Proportional to 299,687.40, 449,531.10 and 122,097.60

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Solution

The fourth proportional to 299,687.40, 449,531.10 and 122,097.60 is: 183,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,687.40 : 449,531.10 = 122,097.60 : x
  2. Step 2: Convert to fraction form
    299,687.40/449,531.10 = 122,097.60/x
  3. Step 3: Cross multiply
    299,687.40x = 449,531.10 × 122,097.60
  4. Step 4: Simplify right side
    299,687.40x = 54,886,668,435.36
  5. Step 5: Solve for x
    x = 54,886,668,435.36/299,687.40
  6. Step 6: Final answer
    x = 183,146.40

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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.