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Finding the Fourth Proportional to 285,500.84, 394,102.40 and 164,745.63

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Solution

The fourth proportional to 285,500.84, 394,102.40 and 164,745.63 is: 227,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,500.84 : 394,102.40 = 164,745.63 : x
  2. Step 2: Convert to fraction form
    285,500.84/394,102.40 = 164,745.63/x
  3. Step 3: Cross multiply
    285,500.84x = 394,102.40 × 164,745.63
  4. Step 4: Simplify right side
    285,500.84x = 64,926,647,348.78
  5. Step 5: Solve for x
    x = 64,926,647,348.78/285,500.84
  6. Step 6: Final answer
    x = 227,413.16

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1.5x scale

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.