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Finding the Fourth Proportional to 1,361,784, 2,042,676 and 364,512

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Solution

The fourth proportional to 1,361,784, 2,042,676 and 364,512 is: 546,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,784 : 2,042,676 = 364,512 : x
  2. Step 2: Convert to fraction form
    1,361,784/2,042,676 = 364,512/x
  3. Step 3: Cross multiply
    1,361,784x = 2,042,676 × 364,512
  4. Step 4: Simplify right side
    1,361,784x = 744,579,914,112
  5. Step 5: Solve for x
    x = 744,579,914,112/1,361,784
  6. Step 6: Final answer
    x = 546,768

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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.