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Finding the Fourth Proportional to 1,268,867,906.12, 1,902,978,926.52 and 395,306,447.96

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Solution

The fourth proportional to 1,268,867,906.12, 1,902,978,926.52 and 395,306,447.96 is: 592,859,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,867,906.12 : 1,902,978,926.52 = 395,306,447.96 : x
  2. Step 2: Convert to fraction form
    1,268,867,906.12/1,902,978,926.52 = 395,306,447.96/x
  3. Step 3: Cross multiply
    1,268,867,906.12x = 1,902,978,926.52 × 395,306,447.96
  4. Step 4: Simplify right side
    1,268,867,906.12x = 752,259,839,985,355,008
  5. Step 5: Solve for x
    x = 752,259,839,985,355,008/1,268,867,906.12
  6. Step 6: Final answer
    x = 592,859,064.65

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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.