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Finding the Fourth Proportional to 1,121,854, 1,682,781 and 333,886

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Solution

The fourth proportional to 1,121,854, 1,682,781 and 333,886 is: 500,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,854 : 1,682,781 = 333,886 : x
  2. Step 2: Convert to fraction form
    1,121,854/1,682,781 = 333,886/x
  3. Step 3: Cross multiply
    1,121,854x = 1,682,781 × 333,886
  4. Step 4: Simplify right side
    1,121,854x = 561,857,016,966
  5. Step 5: Solve for x
    x = 561,857,016,966/1,121,854
  6. Step 6: Final answer
    x = 500,829

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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.