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Finding the Fourth Proportional to 320,171.91, 480,505.71 and 120,673.77

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Solution

The fourth proportional to 320,171.91, 480,505.71 and 120,673.77 is: 181,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,171.91 : 480,505.71 = 120,673.77 : x
  2. Step 2: Convert to fraction form
    320,171.91/480,505.71 = 120,673.77/x
  3. Step 3: Cross multiply
    320,171.91x = 480,505.71 × 120,673.77
  4. Step 4: Simplify right side
    320,171.91x = 57,984,435,532.23
  5. Step 5: Solve for x
    x = 57,984,435,532.23/320,171.91
  6. Step 6: Final answer
    x = 181,104.07

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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.