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Finding the Fourth Proportional to 298,198.85, 447,386.43 and 171,929.67

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Solution

The fourth proportional to 298,198.85, 447,386.43 and 171,929.67 is: 257,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,198.85 : 447,386.43 = 171,929.67 : x
  2. Step 2: Convert to fraction form
    298,198.85/447,386.43 = 171,929.67/x
  3. Step 3: Cross multiply
    298,198.85x = 447,386.43 × 171,929.67
  4. Step 4: Simplify right side
    298,198.85x = 76,919,001,272.38
  5. Step 5: Solve for x
    x = 76,919,001,272.38/298,198.85
  6. Step 6: Final answer
    x = 257,945.34

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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.