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Finding the Fourth Proportional to 883,584, 1,325,376 and 218,736

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Solution

The fourth proportional to 883,584, 1,325,376 and 218,736 is: 328,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,584 : 1,325,376 = 218,736 : x
  2. Step 2: Convert to fraction form
    883,584/1,325,376 = 218,736/x
  3. Step 3: Cross multiply
    883,584x = 1,325,376 × 218,736
  4. Step 4: Simplify right side
    883,584x = 289,907,444,736
  5. Step 5: Solve for x
    x = 289,907,444,736/883,584
  6. Step 6: Final answer
    x = 328,104

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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.