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Finding the Fourth Proportional to 1,121,856, 1,682,784 and 333,888

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Solution

The fourth proportional to 1,121,856, 1,682,784 and 333,888 is: 500,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,856 : 1,682,784 = 333,888 : x
  2. Step 2: Convert to fraction form
    1,121,856/1,682,784 = 333,888/x
  3. Step 3: Cross multiply
    1,121,856x = 1,682,784 × 333,888
  4. Step 4: Simplify right side
    1,121,856x = 561,861,384,192
  5. Step 5: Solve for x
    x = 561,861,384,192/1,121,856
  6. Step 6: Final answer
    x = 500,832

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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.