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Finding the Fourth Proportional to 279,083.28, 418,096.70 and 164,889.59

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Solution

The fourth proportional to 279,083.28, 418,096.70 and 164,889.59 is: 247,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,083.28 : 418,096.70 = 164,889.59 : x
  2. Step 2: Convert to fraction form
    279,083.28/418,096.70 = 164,889.59/x
  3. Step 3: Cross multiply
    279,083.28x = 418,096.70 × 164,889.59
  4. Step 4: Simplify right side
    279,083.28x = 68,939,790,528.42
  5. Step 5: Solve for x
    x = 68,939,790,528.42/279,083.28
  6. Step 6: Final answer
    x = 247,022.29

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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.