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Finding the Fourth Proportional to 320,919.84, 481,359.60 and 84,257.28

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Solution

The fourth proportional to 320,919.84, 481,359.60 and 84,257.28 is: 126,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,919.84 : 481,359.60 = 84,257.28 : x
  2. Step 2: Convert to fraction form
    320,919.84/481,359.60 = 84,257.28/x
  3. Step 3: Cross multiply
    320,919.84x = 481,359.60 × 84,257.28
  4. Step 4: Simplify right side
    320,919.84x = 40,558,050,597.89
  5. Step 5: Solve for x
    x = 40,558,050,597.89/320,919.84
  6. Step 6: Final answer
    x = 126,380.63

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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.