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Finding the Fourth Proportional to 394,279.92, 543,916.62 and 258,255

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Solution

The fourth proportional to 394,279.92, 543,916.62 and 258,255 is: 356,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,279.92 : 543,916.62 = 258,255 : x
  2. Step 2: Convert to fraction form
    394,279.92/543,916.62 = 258,255/x
  3. Step 3: Cross multiply
    394,279.92x = 543,916.62 × 258,255
  4. Step 4: Simplify right side
    394,279.92x = 140,469,186,698.10
  5. Step 5: Solve for x
    x = 140,469,186,698.10/394,279.92
  6. Step 6: Final answer
    x = 356,267.67

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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.