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Finding the Fourth Proportional to 408,837.96, 613,315.53 and 109,328.58

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Solution

The fourth proportional to 408,837.96, 613,315.53 and 109,328.58 is: 164,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,837.96 : 613,315.53 = 109,328.58 : x
  2. Step 2: Convert to fraction form
    408,837.96/613,315.53 = 109,328.58/x
  3. Step 3: Cross multiply
    408,837.96x = 613,315.53 × 109,328.58
  4. Step 4: Simplify right side
    408,837.96x = 67,052,915,986.85
  5. Step 5: Solve for x
    x = 67,052,915,986.85/408,837.96
  6. Step 6: Final answer
    x = 164,008.54

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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.