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Finding the Fourth Proportional to 299,380.20, 448,414.20 and 260,014.20

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Solution

The fourth proportional to 299,380.20, 448,414.20 and 260,014.20 is: 389,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380.20 : 448,414.20 = 260,014.20 : x
  2. Step 2: Convert to fraction form
    299,380.20/448,414.20 = 260,014.20/x
  3. Step 3: Cross multiply
    299,380.20x = 448,414.20 × 260,014.20
  4. Step 4: Simplify right side
    299,380.20x = 116,594,059,481.64
  5. Step 5: Solve for x
    x = 116,594,059,481.64/299,380.20
  6. Step 6: Final answer
    x = 389,451.47

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1.5x scale

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.