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Finding the Fourth Proportional to 432,735, 649,186.20 and 133,162.44

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Solution

The fourth proportional to 432,735, 649,186.20 and 133,162.44 is: 199,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,735 : 649,186.20 = 133,162.44 : x
  2. Step 2: Convert to fraction form
    432,735/649,186.20 = 133,162.44/x
  3. Step 3: Cross multiply
    432,735x = 649,186.20 × 133,162.44
  4. Step 4: Simplify right side
    432,735x = 86,447,218,406.33
  5. Step 5: Solve for x
    x = 86,447,218,406.33/432,735
  6. Step 6: Final answer
    x = 199,769.42

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1.5x scale

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.