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Finding the Fourth Proportional to 393,810.39, 544,194.09 and 322,164.27

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Solution

The fourth proportional to 393,810.39, 544,194.09 and 322,164.27 is: 445,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,810.39 : 544,194.09 = 322,164.27 : x
  2. Step 2: Convert to fraction form
    393,810.39/544,194.09 = 322,164.27/x
  3. Step 3: Cross multiply
    393,810.39x = 544,194.09 × 322,164.27
  4. Step 4: Simplify right side
    393,810.39x = 175,319,891,743.16
  5. Step 5: Solve for x
    x = 175,319,891,743.16/393,810.39
  6. Step 6: Final answer
    x = 445,188.59

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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.