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Finding the Fourth Proportional to 303,971.94, 419,532.30 and 205,810.65

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Solution

The fourth proportional to 303,971.94, 419,532.30 and 205,810.65 is: 284,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,971.94 : 419,532.30 = 205,810.65 : x
  2. Step 2: Convert to fraction form
    303,971.94/419,532.30 = 205,810.65/x
  3. Step 3: Cross multiply
    303,971.94x = 419,532.30 × 205,810.65
  4. Step 4: Simplify right side
    303,971.94x = 86,344,215,359.00
  5. Step 5: Solve for x
    x = 86,344,215,359.00/303,971.94
  6. Step 6: Final answer
    x = 284,053.24

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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.