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Finding the Fourth Proportional to 289,065.29, 398,813.22 and 168,180.69

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Solution

The fourth proportional to 289,065.29, 398,813.22 and 168,180.69 is: 232,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,065.29 : 398,813.22 = 168,180.69 : x
  2. Step 2: Convert to fraction form
    289,065.29/398,813.22 = 168,180.69/x
  3. Step 3: Cross multiply
    289,065.29x = 398,813.22 × 168,180.69
  4. Step 4: Simplify right side
    289,065.29x = 67,072,682,520.72
  5. Step 5: Solve for x
    x = 67,072,682,520.72/289,065.29
  6. Step 6: Final answer
    x = 232,032.99

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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.