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Finding the Fourth Proportional to 433,133.46, 649,761.21 and 133,638.39

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Solution

The fourth proportional to 433,133.46, 649,761.21 and 133,638.39 is: 200,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,133.46 : 649,761.21 = 133,638.39 : x
  2. Step 2: Convert to fraction form
    433,133.46/649,761.21 = 133,638.39/x
  3. Step 3: Cross multiply
    433,133.46x = 649,761.21 × 133,638.39
  4. Step 4: Simplify right side
    433,133.46x = 86,833,041,988.85
  5. Step 5: Solve for x
    x = 86,833,041,988.85/433,133.46
  6. Step 6: Final answer
    x = 200,476.41

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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.