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Finding the Fourth Proportional to 320,076.56, 480,186.29 and 120,398.60

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Solution

The fourth proportional to 320,076.56, 480,186.29 and 120,398.60 is: 180,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,076.56 : 480,186.29 = 120,398.60 : x
  2. Step 2: Convert to fraction form
    320,076.56/480,186.29 = 120,398.60/x
  3. Step 3: Cross multiply
    320,076.56x = 480,186.29 × 120,398.60
  4. Step 4: Simplify right side
    320,076.56x = 57,813,757,055.19
  5. Step 5: Solve for x
    x = 57,813,757,055.19/320,076.56
  6. Step 6: Final answer
    x = 180,624.78

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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.