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Finding the Fourth Proportional to 298,401.17, 447,602.96 and 120,911.54

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Solution

The fourth proportional to 298,401.17, 447,602.96 and 120,911.54 is: 181,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,401.17 : 447,602.96 = 120,911.54 : x
  2. Step 2: Convert to fraction form
    298,401.17/447,602.96 = 120,911.54/x
  3. Step 3: Cross multiply
    298,401.17x = 447,602.96 × 120,911.54
  4. Step 4: Simplify right side
    298,401.17x = 54,120,361,266.42
  5. Step 5: Solve for x
    x = 54,120,361,266.42/298,401.17
  6. Step 6: Final answer
    x = 181,367.79

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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.