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Finding the Fourth Proportional to 397,198.92, 548,398.43 and 305,154.24

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Solution

The fourth proportional to 397,198.92, 548,398.43 and 305,154.24 is: 421,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,198.92 : 548,398.43 = 305,154.24 : x
  2. Step 2: Convert to fraction form
    397,198.92/548,398.43 = 305,154.24/x
  3. Step 3: Cross multiply
    397,198.92x = 548,398.43 × 305,154.24
  4. Step 4: Simplify right side
    397,198.92x = 167,346,106,123.84
  5. Step 5: Solve for x
    x = 167,346,106,123.84/397,198.92
  6. Step 6: Final answer
    x = 421,315.61

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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.