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Finding the Fourth Proportional to 800,751,679.38, 1,105,082,852.40 and 448,324,586.82

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Solution

The fourth proportional to 800,751,679.38, 1,105,082,852.40 and 448,324,586.82 is: 618,713,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,751,679.38 : 1,105,082,852.40 = 448,324,586.82 : x
  2. Step 2: Convert to fraction form
    800,751,679.38/1,105,082,852.40 = 448,324,586.82/x
  3. Step 3: Cross multiply
    800,751,679.38x = 1,105,082,852.40 × 448,324,586.82
  4. Step 4: Simplify right side
    800,751,679.38x = 495,435,813,204,097,088
  5. Step 5: Solve for x
    x = 495,435,813,204,097,088/800,751,679.38
  6. Step 6: Final answer
    x = 618,713,423.85

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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.