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Finding the Fourth Proportional to 412,287.42, 617,890.41 and 298,816.38

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Solution

The fourth proportional to 412,287.42, 617,890.41 and 298,816.38 is: 447,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,287.42 : 617,890.41 = 298,816.38 : x
  2. Step 2: Convert to fraction form
    412,287.42/617,890.41 = 298,816.38/x
  3. Step 3: Cross multiply
    412,287.42x = 617,890.41 × 298,816.38
  4. Step 4: Simplify right side
    412,287.42x = 184,635,775,552.92
  5. Step 5: Solve for x
    x = 184,635,775,552.92/412,287.42
  6. Step 6: Final answer
    x = 447,832.67

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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.