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Finding the Fourth Proportional to 509,560,872.66, 703,179,759.60 and 308,736,647.64

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Solution

The fourth proportional to 509,560,872.66, 703,179,759.60 and 308,736,647.64 is: 426,047,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,560,872.66 : 703,179,759.60 = 308,736,647.64 : x
  2. Step 2: Convert to fraction form
    509,560,872.66/703,179,759.60 = 308,736,647.64/x
  3. Step 3: Cross multiply
    509,560,872.66x = 703,179,759.60 × 308,736,647.64
  4. Step 4: Simplify right side
    509,560,872.66x = 217,097,361,667,205,120
  5. Step 5: Solve for x
    x = 217,097,361,667,205,120/509,560,872.66
  6. Step 6: Final answer
    x = 426,047,943.07

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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.