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Finding the Fourth Proportional to 320,076.72, 480,115.44 and 83,419.20

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Solution

The fourth proportional to 320,076.72, 480,115.44 and 83,419.20 is: 125,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,076.72 : 480,115.44 = 83,419.20 : x
  2. Step 2: Convert to fraction form
    320,076.72/480,115.44 = 83,419.20/x
  3. Step 3: Cross multiply
    320,076.72x = 480,115.44 × 83,419.20
  4. Step 4: Simplify right side
    320,076.72x = 40,050,845,912.45
  5. Step 5: Solve for x
    x = 40,050,845,912.45/320,076.72
  6. Step 6: Final answer
    x = 125,128.89

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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.