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Finding the Fourth Proportional to 298,956.56, 412,509.31 and 171,629.42

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Solution

The fourth proportional to 298,956.56, 412,509.31 and 171,629.42 is: 236,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,956.56 : 412,509.31 = 171,629.42 : x
  2. Step 2: Convert to fraction form
    298,956.56/412,509.31 = 171,629.42/x
  3. Step 3: Cross multiply
    298,956.56x = 412,509.31 × 171,629.42
  4. Step 4: Simplify right side
    298,956.56x = 70,798,731,128.28
  5. Step 5: Solve for x
    x = 70,798,731,128.28/298,956.56
  6. Step 6: Final answer
    x = 236,819.46

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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.