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Finding the Fourth Proportional to 299,475.40, 449,213.10 and 254,374.60

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Solution

The fourth proportional to 299,475.40, 449,213.10 and 254,374.60 is: 381,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,475.40 : 449,213.10 = 254,374.60 : x
  2. Step 2: Convert to fraction form
    299,475.40/449,213.10 = 254,374.60/x
  3. Step 3: Cross multiply
    299,475.40x = 449,213.10 × 254,374.60
  4. Step 4: Simplify right side
    299,475.40x = 114,268,402,627.26
  5. Step 5: Solve for x
    x = 114,268,402,627.26/299,475.40
  6. Step 6: Final answer
    x = 381,561.90

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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.