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Finding the Fourth Proportional to 285,878.88, 394,504.56 and 165,039.84

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Solution

The fourth proportional to 285,878.88, 394,504.56 and 165,039.84 is: 227,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,878.88 : 394,504.56 = 165,039.84 : x
  2. Step 2: Convert to fraction form
    285,878.88/394,504.56 = 165,039.84/x
  3. Step 3: Cross multiply
    285,878.88x = 394,504.56 × 165,039.84
  4. Step 4: Simplify right side
    285,878.88x = 65,108,969,461.67
  5. Step 5: Solve for x
    x = 65,108,969,461.67/285,878.88
  6. Step 6: Final answer
    x = 227,750.19

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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.