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Finding the Fourth Proportional to 289,227, 399,111.39 and 160,164.84

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Solution

The fourth proportional to 289,227, 399,111.39 and 160,164.84 is: 221,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,227 : 399,111.39 = 160,164.84 : x
  2. Step 2: Convert to fraction form
    289,227/399,111.39 = 160,164.84/x
  3. Step 3: Cross multiply
    289,227x = 399,111.39 × 160,164.84
  4. Step 4: Simplify right side
    289,227x = 63,923,611,921.53
  5. Step 5: Solve for x
    x = 63,923,611,921.53/289,227
  6. Step 6: Final answer
    x = 221,015.37

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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.