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Finding the Fourth Proportional to 279,678.65, 419,578.73 and 102,185.38

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Solution

The fourth proportional to 279,678.65, 419,578.73 and 102,185.38 is: 153,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,678.65 : 419,578.73 = 102,185.38 : x
  2. Step 2: Convert to fraction form
    279,678.65/419,578.73 = 102,185.38/x
  3. Step 3: Cross multiply
    279,678.65x = 419,578.73 × 102,185.38
  4. Step 4: Simplify right side
    279,678.65x = 42,874,809,356.15
  5. Step 5: Solve for x
    x = 42,874,809,356.15/279,678.65
  6. Step 6: Final answer
    x = 153,300.26

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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.