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Finding the Fourth Proportional to 332,172, 458,161.20 and 221,735.04

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Solution

The fourth proportional to 332,172, 458,161.20 and 221,735.04 is: 305,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,172 : 458,161.20 = 221,735.04 : x
  2. Step 2: Convert to fraction form
    332,172/458,161.20 = 221,735.04/x
  3. Step 3: Cross multiply
    332,172x = 458,161.20 × 221,735.04
  4. Step 4: Simplify right side
    332,172x = 101,590,392,008.45
  5. Step 5: Solve for x
    x = 101,590,392,008.45/332,172
  6. Step 6: Final answer
    x = 305,836.71

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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.