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Finding the Fourth Proportional to 289,222.97, 434,000.49 and 225,865.28

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Solution

The fourth proportional to 289,222.97, 434,000.49 and 225,865.28 is: 338,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,222.97 : 434,000.49 = 225,865.28 : x
  2. Step 2: Convert to fraction form
    289,222.97/434,000.49 = 225,865.28/x
  3. Step 3: Cross multiply
    289,222.97x = 434,000.49 × 225,865.28
  4. Step 4: Simplify right side
    289,222.97x = 98,025,640,588.65
  5. Step 5: Solve for x
    x = 98,025,640,588.65/289,222.97
  6. Step 6: Final answer
    x = 338,927.58

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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.