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Finding the Fourth Proportional to 285,713.69, 394,183.23 and 164,885.54

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Solution

The fourth proportional to 285,713.69, 394,183.23 and 164,885.54 is: 227,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,713.69 : 394,183.23 = 164,885.54 : x
  2. Step 2: Convert to fraction form
    285,713.69/394,183.23 = 164,885.54/x
  3. Step 3: Cross multiply
    285,713.69x = 394,183.23 × 164,885.54
  4. Step 4: Simplify right side
    285,713.69x = 64,995,114,737.49
  5. Step 5: Solve for x
    x = 64,995,114,737.49/285,713.69
  6. Step 6: Final answer
    x = 227,483.38

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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.