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Finding the Fourth Proportional to 393,486, 543,010.68 and 214,638

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Solution

The fourth proportional to 393,486, 543,010.68 and 214,638 is: 296,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,486 : 543,010.68 = 214,638 : x
  2. Step 2: Convert to fraction form
    393,486/543,010.68 = 214,638/x
  3. Step 3: Cross multiply
    393,486x = 543,010.68 × 214,638
  4. Step 4: Simplify right side
    393,486x = 116,550,726,333.84
  5. Step 5: Solve for x
    x = 116,550,726,333.84/393,486
  6. Step 6: Final answer
    x = 296,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.