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Finding the Fourth Proportional to 1,228,608, 1,842,912 and 342,144

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Solution

The fourth proportional to 1,228,608, 1,842,912 and 342,144 is: 513,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,608 : 1,842,912 = 342,144 : x
  2. Step 2: Convert to fraction form
    1,228,608/1,842,912 = 342,144/x
  3. Step 3: Cross multiply
    1,228,608x = 1,842,912 × 342,144
  4. Step 4: Simplify right side
    1,228,608x = 630,541,283,328
  5. Step 5: Solve for x
    x = 630,541,283,328/1,228,608
  6. Step 6: Final answer
    x = 513,216

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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.