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Finding the Fourth Proportional to 320,241.12, 480,361.68 and 83,581.74

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Solution

The fourth proportional to 320,241.12, 480,361.68 and 83,581.74 is: 125,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,241.12 : 480,361.68 = 83,581.74 : x
  2. Step 2: Convert to fraction form
    320,241.12/480,361.68 = 83,581.74/x
  3. Step 3: Cross multiply
    320,241.12x = 480,361.68 × 83,581.74
  4. Step 4: Simplify right side
    320,241.12x = 40,149,465,043.72
  5. Step 5: Solve for x
    x = 40,149,465,043.72/320,241.12
  6. Step 6: Final answer
    x = 125,372.61

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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.