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Finding the Fourth Proportional to 289,371.34, 399,321.25 and 162,040.42

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Solution

The fourth proportional to 289,371.34, 399,321.25 and 162,040.42 is: 223,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,371.34 : 399,321.25 = 162,040.42 : x
  2. Step 2: Convert to fraction form
    289,371.34/399,321.25 = 162,040.42/x
  3. Step 3: Cross multiply
    289,371.34x = 399,321.25 × 162,040.42
  4. Step 4: Simplify right side
    289,371.34x = 64,706,183,064.93
  5. Step 5: Solve for x
    x = 64,706,183,064.93/289,371.34
  6. Step 6: Final answer
    x = 223,609.51

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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.