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Finding the Fourth Proportional to 320,418.45, 480,655.01 and 83,760.75

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Solution

The fourth proportional to 320,418.45, 480,655.01 and 83,760.75 is: 125,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.45 : 480,655.01 = 83,760.75 : x
  2. Step 2: Convert to fraction form
    320,418.45/480,655.01 = 83,760.75/x
  3. Step 3: Cross multiply
    320,418.45x = 480,655.01 × 83,760.75
  4. Step 4: Simplify right side
    320,418.45x = 40,260,024,338.26
  5. Step 5: Solve for x
    x = 40,260,024,338.26/320,418.45
  6. Step 6: Final answer
    x = 125,648.27

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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.