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Finding the Fourth Proportional to 656,375,805.30, 984,713,007.15 and 383,606,166.90

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Solution

The fourth proportional to 656,375,805.30, 984,713,007.15 and 383,606,166.90 is: 575,496,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,375,805.30 : 984,713,007.15 = 383,606,166.90 : x
  2. Step 2: Convert to fraction form
    656,375,805.30/984,713,007.15 = 383,606,166.90/x
  3. Step 3: Cross multiply
    656,375,805.30x = 984,713,007.15 × 383,606,166.90
  4. Step 4: Simplify right side
    656,375,805.30x = 377,741,982,169,383,744
  5. Step 5: Solve for x
    x = 377,741,982,169,383,744/656,375,805.30
  6. Step 6: Final answer
    x = 575,496,505.38

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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.