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Finding the Fourth Proportional to 328,661.92, 493,196.97 and 210,418.12

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Solution

The fourth proportional to 328,661.92, 493,196.97 and 210,418.12 is: 315,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,661.92 : 493,196.97 = 210,418.12 : x
  2. Step 2: Convert to fraction form
    328,661.92/493,196.97 = 210,418.12/x
  3. Step 3: Cross multiply
    328,661.92x = 493,196.97 × 210,418.12
  4. Step 4: Simplify right side
    328,661.92x = 103,777,579,217.10
  5. Step 5: Solve for x
    x = 103,777,579,217.10/328,661.92
  6. Step 6: Final answer
    x = 315,757.84

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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.