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Finding the Fourth Proportional to 1,783,100, 2,460,721.22 and 978,284

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Solution

The fourth proportional to 1,783,100, 2,460,721.22 and 978,284 is: 1,350,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,100 : 2,460,721.22 = 978,284 : x
  2. Step 2: Convert to fraction form
    1,783,100/2,460,721.22 = 978,284/x
  3. Step 3: Cross multiply
    1,783,100x = 2,460,721.22 × 978,284
  4. Step 4: Simplify right side
    1,783,100x = 2,407,284,197,986.48
  5. Step 5: Solve for x
    x = 2,407,284,197,986.48/1,783,100
  6. Step 6: Final answer
    x = 1,350,055.63

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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.