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Finding the Fourth Proportional to 1,728,000, 2,384,640 and 1,012,608

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Solution

The fourth proportional to 1,728,000, 2,384,640 and 1,012,608 is: 1,397,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,000 : 2,384,640 = 1,012,608 : x
  2. Step 2: Convert to fraction form
    1,728,000/2,384,640 = 1,012,608/x
  3. Step 3: Cross multiply
    1,728,000x = 2,384,640 × 1,012,608
  4. Step 4: Simplify right side
    1,728,000x = 2,414,705,541,120
  5. Step 5: Solve for x
    x = 2,414,705,541,120/1,728,000
  6. Step 6: Final answer
    x = 1,397,399.04

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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.