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Finding the Fourth Proportional to 329,115.40, 493,478.70 and 171,651.40

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Solution

The fourth proportional to 329,115.40, 493,478.70 and 171,651.40 is: 257,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,115.40 : 493,478.70 = 171,651.40 : x
  2. Step 2: Convert to fraction form
    329,115.40/493,478.70 = 171,651.40/x
  3. Step 3: Cross multiply
    329,115.40x = 493,478.70 × 171,651.40
  4. Step 4: Simplify right side
    329,115.40x = 84,706,309,725.18
  5. Step 5: Solve for x
    x = 84,706,309,725.18/329,115.40
  6. Step 6: Final answer
    x = 257,375.71

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1.5x scale

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.