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Finding the Fourth Proportional to 643,097.49, 963,805.32 and 263,573.88

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Solution

The fourth proportional to 643,097.49, 963,805.32 and 263,573.88 is: 395,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,097.49 : 963,805.32 = 263,573.88 : x
  2. Step 2: Convert to fraction form
    643,097.49/963,805.32 = 263,573.88/x
  3. Step 3: Cross multiply
    643,097.49x = 963,805.32 × 263,573.88
  4. Step 4: Simplify right side
    643,097.49x = 254,033,907,757.04
  5. Step 5: Solve for x
    x = 254,033,907,757.04/643,097.49
  6. Step 6: Final answer
    x = 395,016.17

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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.