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Finding the Fourth Proportional to 320,921.73, 481,363.16 and 84,259.17

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Solution

The fourth proportional to 320,921.73, 481,363.16 and 84,259.17 is: 126,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,921.73 : 481,363.16 = 84,259.17 : x
  2. Step 2: Convert to fraction form
    320,921.73/481,363.16 = 84,259.17/x
  3. Step 3: Cross multiply
    320,921.73x = 481,363.16 × 84,259.17
  4. Step 4: Simplify right side
    320,921.73x = 40,559,259,908.88
  5. Step 5: Solve for x
    x = 40,559,259,908.88/320,921.73
  6. Step 6: Final answer
    x = 126,383.65

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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.