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Finding the Fourth Proportional to 394,280.92, 543,918 and 258,256

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Solution

The fourth proportional to 394,280.92, 543,918 and 258,256 is: 356,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,280.92 : 543,918 = 258,256 : x
  2. Step 2: Convert to fraction form
    394,280.92/543,918 = 258,256/x
  3. Step 3: Cross multiply
    394,280.92x = 543,918 × 258,256
  4. Step 4: Simplify right side
    394,280.92x = 140,470,087,008
  5. Step 5: Solve for x
    x = 140,470,087,008/394,280.92
  6. Step 6: Final answer
    x = 356,269.05

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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.