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Finding the Fourth Proportional to 289,007.26, 398,821.81 and 159,951.14

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Solution

The fourth proportional to 289,007.26, 398,821.81 and 159,951.14 is: 220,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,007.26 : 398,821.81 = 159,951.14 : x
  2. Step 2: Convert to fraction form
    289,007.26/398,821.81 = 159,951.14/x
  3. Step 3: Cross multiply
    289,007.26x = 398,821.81 × 159,951.14
  4. Step 4: Simplify right side
    289,007.26x = 63,792,002,567.87
  5. Step 5: Solve for x
    x = 63,792,002,567.87/289,007.26
  6. Step 6: Final answer
    x = 220,728.03

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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.