Home / 766,408,198.78-1,057,643,739.40-413,984,191.42

Finding the Fourth Proportional to 766,408,198.78, 1,057,643,739.40 and 413,984,191.42

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Solution

The fourth proportional to 766,408,198.78, 1,057,643,739.40 and 413,984,191.42 is: 571,298,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,408,198.78 : 1,057,643,739.40 = 413,984,191.42 : x
  2. Step 2: Convert to fraction form
    766,408,198.78/1,057,643,739.40 = 413,984,191.42/x
  3. Step 3: Cross multiply
    766,408,198.78x = 1,057,643,739.40 × 413,984,191.42
  4. Step 4: Simplify right side
    766,408,198.78x = 437,847,788,265,763,968
  5. Step 5: Solve for x
    x = 437,847,788,265,763,968/766,408,198.78
  6. Step 6: Final answer
    x = 571,298,413.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.