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Finding the Fourth Proportional to 1,219,449,761.86, 1,682,840,668.91 and 690,813,747.24

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Solution

The fourth proportional to 1,219,449,761.86, 1,682,840,668.91 and 690,813,747.24 is: 953,322,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,449,761.86 : 1,682,840,668.91 = 690,813,747.24 : x
  2. Step 2: Convert to fraction form
    1,219,449,761.86/1,682,840,668.91 = 690,813,747.24/x
  3. Step 3: Cross multiply
    1,219,449,761.86x = 1,682,840,668.91 × 690,813,747.24
  4. Step 4: Simplify right side
    1,219,449,761.86x = 1,162,529,468,497,585,408
  5. Step 5: Solve for x
    x = 1,162,529,468,497,585,408/1,219,449,761.86
  6. Step 6: Final answer
    x = 953,322,969.80

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Double scale
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1.5x scale

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.