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Finding the Fourth Proportional to 431,936.46, 648,101.61 and 221,722.14

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Solution

The fourth proportional to 431,936.46, 648,101.61 and 221,722.14 is: 332,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,936.46 : 648,101.61 = 221,722.14 : x
  2. Step 2: Convert to fraction form
    431,936.46/648,101.61 = 221,722.14/x
  3. Step 3: Cross multiply
    431,936.46x = 648,101.61 × 221,722.14
  4. Step 4: Simplify right side
    431,936.46x = 143,698,475,906.65
  5. Step 5: Solve for x
    x = 143,698,475,906.65/431,936.46
  6. Step 6: Final answer
    x = 332,684.29

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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.