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Finding the Fourth Proportional to 1,990,857, 2,986,296.48 and 494,949

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Solution

The fourth proportional to 1,990,857, 2,986,296.48 and 494,949 is: 742,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,857 : 2,986,296.48 = 494,949 : x
  2. Step 2: Convert to fraction form
    1,990,857/2,986,296.48 = 494,949/x
  3. Step 3: Cross multiply
    1,990,857x = 2,986,296.48 × 494,949
  4. Step 4: Simplify right side
    1,990,857x = 1,478,064,456,479.52
  5. Step 5: Solve for x
    x = 1,478,064,456,479.52/1,990,857
  6. Step 6: Final answer
    x = 742,426.23

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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.