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Finding the Fourth Proportional to 285,648.78, 394,208.20 and 163,151.84

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Solution

The fourth proportional to 285,648.78, 394,208.20 and 163,151.84 is: 225,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.78 : 394,208.20 = 163,151.84 : x
  2. Step 2: Convert to fraction form
    285,648.78/394,208.20 = 163,151.84/x
  3. Step 3: Cross multiply
    285,648.78x = 394,208.20 × 163,151.84
  4. Step 4: Simplify right side
    285,648.78x = 64,315,793,173.09
  5. Step 5: Solve for x
    x = 64,315,793,173.09/285,648.78
  6. Step 6: Final answer
    x = 225,156.90

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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.