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Finding the Fourth Proportional to 397,112.54, 548,015.31 and 215,824.91

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Solution

The fourth proportional to 397,112.54, 548,015.31 and 215,824.91 is: 297,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,112.54 : 548,015.31 = 215,824.91 : x
  2. Step 2: Convert to fraction form
    397,112.54/548,015.31 = 215,824.91/x
  3. Step 3: Cross multiply
    397,112.54x = 548,015.31 × 215,824.91
  4. Step 4: Simplify right side
    397,112.54x = 118,275,352,219.30
  5. Step 5: Solve for x
    x = 118,275,352,219.30/397,112.54
  6. Step 6: Final answer
    x = 297,838.38

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1.5x scale

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.