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Finding the Fourth Proportional to 428,581.82, 643,227.44 and 215,410.84

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Solution

The fourth proportional to 428,581.82, 643,227.44 and 215,410.84 is: 323,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,581.82 : 643,227.44 = 215,410.84 : x
  2. Step 2: Convert to fraction form
    428,581.82/643,227.44 = 215,410.84/x
  3. Step 3: Cross multiply
    428,581.82x = 643,227.44 × 215,410.84
  4. Step 4: Simplify right side
    428,581.82x = 138,558,162,091.91
  5. Step 5: Solve for x
    x = 138,558,162,091.91/428,581.82
  6. Step 6: Final answer
    x = 323,294.54

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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.