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Finding the Fourth Proportional to 433,049.58, 649,532.55 and 133,449.72

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Solution

The fourth proportional to 433,049.58, 649,532.55 and 133,449.72 is: 200,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,049.58 : 649,532.55 = 133,449.72 : x
  2. Step 2: Convert to fraction form
    433,049.58/649,532.55 = 133,449.72/x
  3. Step 3: Cross multiply
    433,049.58x = 649,532.55 × 133,449.72
  4. Step 4: Simplify right side
    433,049.58x = 86,679,934,993.08
  5. Step 5: Solve for x
    x = 86,679,934,993.08/433,049.58
  6. Step 6: Final answer
    x = 200,161.69

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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.