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Finding the Fourth Proportional to 329,311, 454,457.10 and 201,912.76

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Solution

The fourth proportional to 329,311, 454,457.10 and 201,912.76 is: 278,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,311 : 454,457.10 = 201,912.76 : x
  2. Step 2: Convert to fraction form
    329,311/454,457.10 = 201,912.76/x
  3. Step 3: Cross multiply
    329,311x = 454,457.10 × 201,912.76
  4. Step 4: Simplify right side
    329,311x = 91,760,687,362.60
  5. Step 5: Solve for x
    x = 91,760,687,362.60/329,311
  6. Step 6: Final answer
    x = 278,644.46

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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.