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Finding the Fourth Proportional to 298,450.08, 447,660.54 and 111,447

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Solution

The fourth proportional to 298,450.08, 447,660.54 and 111,447 is: 167,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,450.08 : 447,660.54 = 111,447 : x
  2. Step 2: Convert to fraction form
    298,450.08/447,660.54 = 111,447/x
  3. Step 3: Cross multiply
    298,450.08x = 447,660.54 × 111,447
  4. Step 4: Simplify right side
    298,450.08x = 49,890,424,201.38
  5. Step 5: Solve for x
    x = 49,890,424,201.38/298,450.08
  6. Step 6: Final answer
    x = 167,165.06

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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.