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Finding the Fourth Proportional to 1,560,096, 2,340,144 and 378,144

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Solution

The fourth proportional to 1,560,096, 2,340,144 and 378,144 is: 567,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,096 : 2,340,144 = 378,144 : x
  2. Step 2: Convert to fraction form
    1,560,096/2,340,144 = 378,144/x
  3. Step 3: Cross multiply
    1,560,096x = 2,340,144 × 378,144
  4. Step 4: Simplify right side
    1,560,096x = 884,911,412,736
  5. Step 5: Solve for x
    x = 884,911,412,736/1,560,096
  6. Step 6: Final answer
    x = 567,216

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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.