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Finding the Fourth Proportional to 393,786, 543,424.68 and 214,938

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Solution

The fourth proportional to 393,786, 543,424.68 and 214,938 is: 296,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,786 : 543,424.68 = 214,938 : x
  2. Step 2: Convert to fraction form
    393,786/543,424.68 = 214,938/x
  3. Step 3: Cross multiply
    393,786x = 543,424.68 × 214,938
  4. Step 4: Simplify right side
    393,786x = 116,802,613,869.84
  5. Step 5: Solve for x
    x = 116,802,613,869.84/393,786
  6. Step 6: Final answer
    x = 296,614.44

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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.