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Finding the Fourth Proportional to 289,163.34, 399,029.76 and 161,814.33

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Solution

The fourth proportional to 289,163.34, 399,029.76 and 161,814.33 is: 223,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,163.34 : 399,029.76 = 161,814.33 : x
  2. Step 2: Convert to fraction form
    289,163.34/399,029.76 = 161,814.33/x
  3. Step 3: Cross multiply
    289,163.34x = 399,029.76 × 161,814.33
  4. Step 4: Simplify right side
    289,163.34x = 64,568,733,264.46
  5. Step 5: Solve for x
    x = 64,568,733,264.46/289,163.34
  6. Step 6: Final answer
    x = 223,295.02

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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.