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Finding the Fourth Proportional to 564,660, 846,990 and 170,676

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Solution

The fourth proportional to 564,660, 846,990 and 170,676 is: 256,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,660 : 846,990 = 170,676 : x
  2. Step 2: Convert to fraction form
    564,660/846,990 = 170,676/x
  3. Step 3: Cross multiply
    564,660x = 846,990 × 170,676
  4. Step 4: Simplify right side
    564,660x = 144,560,865,240
  5. Step 5: Solve for x
    x = 144,560,865,240/564,660
  6. Step 6: Final answer
    x = 256,014

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.