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Finding the Fourth Proportional to 285,447.42, 394,098.95 and 178,175.07

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Solution

The fourth proportional to 285,447.42, 394,098.95 and 178,175.07 is: 245,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,447.42 : 394,098.95 = 178,175.07 : x
  2. Step 2: Convert to fraction form
    285,447.42/394,098.95 = 178,175.07/x
  3. Step 3: Cross multiply
    285,447.42x = 394,098.95 × 178,175.07
  4. Step 4: Simplify right side
    285,447.42x = 70,218,608,003.18
  5. Step 5: Solve for x
    x = 70,218,608,003.18/285,447.42
  6. Step 6: Final answer
    x = 245,994.89

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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.