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Finding the Fourth Proportional to 397,194, 548,134.08 and 215,906.28

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Solution

The fourth proportional to 397,194, 548,134.08 and 215,906.28 is: 297,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,194 : 548,134.08 = 215,906.28 : x
  2. Step 2: Convert to fraction form
    397,194/548,134.08 = 215,906.28/x
  3. Step 3: Cross multiply
    397,194x = 548,134.08 × 215,906.28
  4. Step 4: Simplify right side
    397,194x = 118,345,590,154.02
  5. Step 5: Solve for x
    x = 118,345,590,154.02/397,194
  6. Step 6: Final answer
    x = 297,954.12

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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.