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Finding the Fourth Proportional to 412,039.82, 620,867.36 and 338,800.64

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Solution

The fourth proportional to 412,039.82, 620,867.36 and 338,800.64 is: 510,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,039.82 : 620,867.36 = 338,800.64 : x
  2. Step 2: Convert to fraction form
    412,039.82/620,867.36 = 338,800.64/x
  3. Step 3: Cross multiply
    412,039.82x = 620,867.36 × 338,800.64
  4. Step 4: Simplify right side
    412,039.82x = 210,350,258,923.11
  5. Step 5: Solve for x
    x = 210,350,258,923.11/412,039.82
  6. Step 6: Final answer
    x = 510,509.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.