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Finding the Fourth Proportional to 328,183.27, 492,274.85 and 78,865.27

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Solution

The fourth proportional to 328,183.27, 492,274.85 and 78,865.27 is: 118,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,183.27 : 492,274.85 = 78,865.27 : x
  2. Step 2: Convert to fraction form
    328,183.27/492,274.85 = 78,865.27/x
  3. Step 3: Cross multiply
    328,183.27x = 492,274.85 × 78,865.27
  4. Step 4: Simplify right side
    328,183.27x = 38,823,386,103.76
  5. Step 5: Solve for x
    x = 38,823,386,103.76/328,183.27
  6. Step 6: Final answer
    x = 118,297.88

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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.