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Finding the Fourth Proportional to 262,821,205.40, 394,231,808.10 and 262,821,205.40

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Solution

The fourth proportional to 262,821,205.40, 394,231,808.10 and 262,821,205.40 is: 394,231,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,821,205.40 : 394,231,808.10 = 262,821,205.40 : x
  2. Step 2: Convert to fraction form
    262,821,205.40/394,231,808.10 = 262,821,205.40/x
  3. Step 3: Cross multiply
    262,821,205.40x = 394,231,808.10 × 262,821,205.40
  4. Step 4: Simplify right side
    262,821,205.40x = 103,612,479,011,863,488
  5. Step 5: Solve for x
    x = 103,612,479,011,863,488/262,821,205.40
  6. Step 6: Final answer
    x = 394,231,808.10

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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.