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Finding the Fourth Proportional to 397,441.54, 548,463.96 and 216,149.56

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Solution

The fourth proportional to 397,441.54, 548,463.96 and 216,149.56 is: 298,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,441.54 : 548,463.96 = 216,149.56 : x
  2. Step 2: Convert to fraction form
    397,441.54/548,463.96 = 216,149.56/x
  3. Step 3: Cross multiply
    397,441.54x = 548,463.96 × 216,149.56
  4. Step 4: Simplify right side
    397,441.54x = 118,550,245,343.81
  5. Step 5: Solve for x
    x = 118,550,245,343.81/397,441.54
  6. Step 6: Final answer
    x = 298,283.48

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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.