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Finding the Fourth Proportional to 289,510, 399,523.80 and 162,185.56

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Solution

The fourth proportional to 289,510, 399,523.80 and 162,185.56 is: 223,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,510 : 399,523.80 = 162,185.56 : x
  2. Step 2: Convert to fraction form
    289,510/399,523.80 = 162,185.56/x
  3. Step 3: Cross multiply
    289,510x = 399,523.80 × 162,185.56
  4. Step 4: Simplify right side
    289,510x = 64,796,991,236.33
  5. Step 5: Solve for x
    x = 64,796,991,236.33/289,510
  6. Step 6: Final answer
    x = 223,816.07

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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.