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Finding the Fourth Proportional to 408,811.96, 613,316.67 and 128,329.21

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Solution

The fourth proportional to 408,811.96, 613,316.67 and 128,329.21 is: 192,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,811.96 : 613,316.67 = 128,329.21 : x
  2. Step 2: Convert to fraction form
    408,811.96/613,316.67 = 128,329.21/x
  3. Step 3: Cross multiply
    408,811.96x = 613,316.67 × 128,329.21
  4. Step 4: Simplify right side
    408,811.96x = 78,706,443,740.93
  5. Step 5: Solve for x
    x = 78,706,443,740.93/408,811.96
  6. Step 6: Final answer
    x = 192,524.81

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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.