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Finding the Fourth Proportional to 299,378,859.60, 449,068,289.40 and 146,123,230.80

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Solution

The fourth proportional to 299,378,859.60, 449,068,289.40 and 146,123,230.80 is: 219,184,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,378,859.60 : 449,068,289.40 = 146,123,230.80 : x
  2. Step 2: Convert to fraction form
    299,378,859.60/449,068,289.40 = 146,123,230.80/x
  3. Step 3: Cross multiply
    299,378,859.60x = 449,068,289.40 × 146,123,230.80
  4. Step 4: Simplify right side
    299,378,859.60x = 65,619,309,296,957,392
  5. Step 5: Solve for x
    x = 65,619,309,296,957,392/299,378,859.60
  6. Step 6: Final answer
    x = 219,184,846.20

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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.