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Finding the Fourth Proportional to 333,231.97, 459,532.46 and 305,571.28

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Solution

The fourth proportional to 333,231.97, 459,532.46 and 305,571.28 is: 421,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,231.97 : 459,532.46 = 305,571.28 : x
  2. Step 2: Convert to fraction form
    333,231.97/459,532.46 = 305,571.28/x
  3. Step 3: Cross multiply
    333,231.97x = 459,532.46 × 305,571.28
  4. Step 4: Simplify right side
    333,231.97x = 140,419,920,475.89
  5. Step 5: Solve for x
    x = 140,419,920,475.89/333,231.97
  6. Step 6: Final answer
    x = 421,387.90

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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.