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Finding the Fourth Proportional to 299,442.60, 449,163.90 and 141,978.60

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Solution

The fourth proportional to 299,442.60, 449,163.90 and 141,978.60 is: 212,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442.60 : 449,163.90 = 141,978.60 : x
  2. Step 2: Convert to fraction form
    299,442.60/449,163.90 = 141,978.60/x
  3. Step 3: Cross multiply
    299,442.60x = 449,163.90 × 141,978.60
  4. Step 4: Simplify right side
    299,442.60x = 63,771,661,692.54
  5. Step 5: Solve for x
    x = 63,771,661,692.54/299,442.60
  6. Step 6: Final answer
    x = 212,967.90

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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.