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Finding the Fourth Proportional to 279,504,368.80, 419,181,903.60 and 85,415,408.80

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Solution

The fourth proportional to 279,504,368.80, 419,181,903.60 and 85,415,408.80 is: 128,100,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,504,368.80 : 419,181,903.60 = 85,415,408.80 : x
  2. Step 2: Convert to fraction form
    279,504,368.80/419,181,903.60 = 85,415,408.80/x
  3. Step 3: Cross multiply
    279,504,368.80x = 419,181,903.60 × 85,415,408.80
  4. Step 4: Simplify right side
    279,504,368.80x = 35,804,593,657,556,192
  5. Step 5: Solve for x
    x = 35,804,593,657,556,192/279,504,368.80
  6. Step 6: Final answer
    x = 128,100,300.58

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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.