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Finding the Fourth Proportional to 299,449,508.40, 448,418,435.40 and 196,657,009.20

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Solution

The fourth proportional to 299,449,508.40, 448,418,435.40 and 196,657,009.20 is: 294,489,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,449,508.40 : 448,418,435.40 = 196,657,009.20 : x
  2. Step 2: Convert to fraction form
    299,449,508.40/448,418,435.40 = 196,657,009.20/x
  3. Step 3: Cross multiply
    299,449,508.40x = 448,418,435.40 × 196,657,009.20
  4. Step 4: Simplify right side
    299,449,508.40x = 88,184,628,375,907,392
  5. Step 5: Solve for x
    x = 88,184,628,375,907,392/299,449,508.40
  6. Step 6: Final answer
    x = 294,489,140.58

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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.