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Finding the Fourth Proportional to 329,604.60, 493,750.80 and 171,921.90

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Solution

The fourth proportional to 329,604.60, 493,750.80 and 171,921.90 is: 257,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,604.60 : 493,750.80 = 171,921.90 : x
  2. Step 2: Convert to fraction form
    329,604.60/493,750.80 = 171,921.90/x
  3. Step 3: Cross multiply
    329,604.60x = 493,750.80 × 171,921.90
  4. Step 4: Simplify right side
    329,604.60x = 84,886,575,662.52
  5. Step 5: Solve for x
    x = 84,886,575,662.52/329,604.60
  6. Step 6: Final answer
    x = 257,540.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.