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Finding the Fourth Proportional to 320,523.81, 480,853.77 and 120,839.37

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Solution

The fourth proportional to 320,523.81, 480,853.77 and 120,839.37 is: 181,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,523.81 : 480,853.77 = 120,839.37 : x
  2. Step 2: Convert to fraction form
    320,523.81/480,853.77 = 120,839.37/x
  3. Step 3: Cross multiply
    320,523.81x = 480,853.77 × 120,839.37
  4. Step 4: Simplify right side
    320,523.81x = 58,106,066,628.92
  5. Step 5: Solve for x
    x = 58,106,066,628.92/320,523.81
  6. Step 6: Final answer
    x = 181,284.71

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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.