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Finding the Fourth Proportional to 329,861.73, 494,873.19 and 105,222.21

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Solution

The fourth proportional to 329,861.73, 494,873.19 and 105,222.21 is: 157,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,861.73 : 494,873.19 = 105,222.21 : x
  2. Step 2: Convert to fraction form
    329,861.73/494,873.19 = 105,222.21/x
  3. Step 3: Cross multiply
    329,861.73x = 494,873.19 × 105,222.21
  4. Step 4: Simplify right side
    329,861.73x = 52,071,650,721.55
  5. Step 5: Solve for x
    x = 52,071,650,721.55/329,861.73
  6. Step 6: Final answer
    x = 157,859.02

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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.