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Finding the Fourth Proportional to 298,155.56, 447,440.70 and 192,713

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Solution

The fourth proportional to 298,155.56, 447,440.70 and 192,713 is: 289,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,155.56 : 447,440.70 = 192,713 : x
  2. Step 2: Convert to fraction form
    298,155.56/447,440.70 = 192,713/x
  3. Step 3: Cross multiply
    298,155.56x = 447,440.70 × 192,713
  4. Step 4: Simplify right side
    298,155.56x = 86,227,639,619.10
  5. Step 5: Solve for x
    x = 86,227,639,619.10/298,155.56
  6. Step 6: Final answer
    x = 289,203.53

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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.