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Finding the Fourth Proportional to 299,548,857.60, 449,323,286.40 and 254,199,225.60

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Solution

The fourth proportional to 299,548,857.60, 449,323,286.40 and 254,199,225.60 is: 381,298,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,548,857.60 : 449,323,286.40 = 254,199,225.60 : x
  2. Step 2: Convert to fraction form
    299,548,857.60/449,323,286.40 = 254,199,225.60/x
  3. Step 3: Cross multiply
    299,548,857.60x = 449,323,286.40 × 254,199,225.60
  4. Step 4: Simplify right side
    299,548,857.60x = 114,217,631,446,927,008
  5. Step 5: Solve for x
    x = 114,217,631,446,927,008/299,548,857.60
  6. Step 6: Final answer
    x = 381,298,838.40

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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.