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Finding the Fourth Proportional to 414,441, 621,661.50 and 133,958.25

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Solution

The fourth proportional to 414,441, 621,661.50 and 133,958.25 is: 200,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,441 : 621,661.50 = 133,958.25 : x
  2. Step 2: Convert to fraction form
    414,441/621,661.50 = 133,958.25/x
  3. Step 3: Cross multiply
    414,441x = 621,661.50 × 133,958.25
  4. Step 4: Simplify right side
    414,441x = 83,276,686,632.38
  5. Step 5: Solve for x
    x = 83,276,686,632.38/414,441
  6. Step 6: Final answer
    x = 200,937.38

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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.