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Finding the Fourth Proportional to 432,684.89, 649,088.84 and 133,190.43

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Solution

The fourth proportional to 432,684.89, 649,088.84 and 133,190.43 is: 199,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,684.89 : 649,088.84 = 133,190.43 : x
  2. Step 2: Convert to fraction form
    432,684.89/649,088.84 = 133,190.43/x
  3. Step 3: Cross multiply
    432,684.89x = 649,088.84 × 133,190.43
  4. Step 4: Simplify right side
    432,684.89x = 86,452,419,606.69
  5. Step 5: Solve for x
    x = 86,452,419,606.69/432,684.89
  6. Step 6: Final answer
    x = 199,804.57

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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.