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Finding the Fourth Proportional to 394,083, 543,834.54 and 215,235

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Solution

The fourth proportional to 394,083, 543,834.54 and 215,235 is: 297,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,083 : 543,834.54 = 215,235 : x
  2. Step 2: Convert to fraction form
    394,083/543,834.54 = 215,235/x
  3. Step 3: Cross multiply
    394,083x = 543,834.54 × 215,235
  4. Step 4: Simplify right side
    394,083x = 117,052,227,216.90
  5. Step 5: Solve for x
    x = 117,052,227,216.90/394,083
  6. Step 6: Final answer
    x = 297,024.30

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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.