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Finding the Fourth Proportional to 285,978.07, 394,649.73 and 158,654.58

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Solution

The fourth proportional to 285,978.07, 394,649.73 and 158,654.58 is: 218,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.07 : 394,649.73 = 158,654.58 : x
  2. Step 2: Convert to fraction form
    285,978.07/394,649.73 = 158,654.58/x
  3. Step 3: Cross multiply
    285,978.07x = 394,649.73 × 158,654.58
  4. Step 4: Simplify right side
    285,978.07x = 62,612,987,160.26
  5. Step 5: Solve for x
    x = 62,612,987,160.26/285,978.07
  6. Step 6: Final answer
    x = 218,943.32

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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.