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Finding the Fourth Proportional to 459,754.89, 688,735.66 and 259,469.43

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Solution

The fourth proportional to 459,754.89, 688,735.66 and 259,469.43 is: 388,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,754.89 : 688,735.66 = 259,469.43 : x
  2. Step 2: Convert to fraction form
    459,754.89/688,735.66 = 259,469.43/x
  3. Step 3: Cross multiply
    459,754.89x = 688,735.66 × 259,469.43
  4. Step 4: Simplify right side
    459,754.89x = 178,705,849,120.87
  5. Step 5: Solve for x
    x = 178,705,849,120.87/459,754.89
  6. Step 6: Final answer
    x = 388,698.09

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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.