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Finding the Fourth Proportional to 456,997.28, 685,524.96 and 141,427.68

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Solution

The fourth proportional to 456,997.28, 685,524.96 and 141,427.68 is: 212,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,997.28 : 685,524.96 = 141,427.68 : x
  2. Step 2: Convert to fraction form
    456,997.28/685,524.96 = 141,427.68/x
  3. Step 3: Cross multiply
    456,997.28x = 685,524.96 × 141,427.68
  4. Step 4: Simplify right side
    456,997.28x = 96,952,204,674.89
  5. Step 5: Solve for x
    x = 96,952,204,674.89/456,997.28
  6. Step 6: Final answer
    x = 212,150.51

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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.