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Finding the Fourth Proportional to 320,418.20, 480,654.64 and 83,760.50

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Solution

The fourth proportional to 320,418.20, 480,654.64 and 83,760.50 is: 125,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.20 : 480,654.64 = 83,760.50 : x
  2. Step 2: Convert to fraction form
    320,418.20/480,654.64 = 83,760.50/x
  3. Step 3: Cross multiply
    320,418.20x = 480,654.64 × 83,760.50
  4. Step 4: Simplify right side
    320,418.20x = 40,259,872,764.32
  5. Step 5: Solve for x
    x = 40,259,872,764.32/320,418.20
  6. Step 6: Final answer
    x = 125,647.90

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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.