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Finding the Fourth Proportional to 978,804,067.60, 1,468,206,101.40 and 543,447,600.40

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Solution

The fourth proportional to 978,804,067.60, 1,468,206,101.40 and 543,447,600.40 is: 815,171,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,804,067.60 : 1,468,206,101.40 = 543,447,600.40 : x
  2. Step 2: Convert to fraction form
    978,804,067.60/1,468,206,101.40 = 543,447,600.40/x
  3. Step 3: Cross multiply
    978,804,067.60x = 1,468,206,101.40 × 543,447,600.40
  4. Step 4: Simplify right side
    978,804,067.60x = 797,893,082,698,469,120
  5. Step 5: Solve for x
    x = 797,893,082,698,469,120/978,804,067.60
  6. Step 6: Final answer
    x = 815,171,400.60

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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.