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Finding the Fourth Proportional to 685,321.54, 945,842.69 and 394,877.47

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Solution

The fourth proportional to 685,321.54, 945,842.69 and 394,877.47 is: 544,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,321.54 : 945,842.69 = 394,877.47 : x
  2. Step 2: Convert to fraction form
    685,321.54/945,842.69 = 394,877.47/x
  3. Step 3: Cross multiply
    685,321.54x = 945,842.69 × 394,877.47
  4. Step 4: Simplify right side
    685,321.54x = 373,491,968,445.19
  5. Step 5: Solve for x
    x = 373,491,968,445.19/685,321.54
  6. Step 6: Final answer
    x = 544,987.93

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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.