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Finding the Fourth Proportional to 543,301.92, 815,489.22 and 407,895.03

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Solution

The fourth proportional to 543,301.92, 815,489.22 and 407,895.03 is: 612,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,301.92 : 815,489.22 = 407,895.03 : x
  2. Step 2: Convert to fraction form
    543,301.92/815,489.22 = 407,895.03/x
  3. Step 3: Cross multiply
    543,301.92x = 815,489.22 × 407,895.03
  4. Step 4: Simplify right side
    543,301.92x = 332,633,999,856.58
  5. Step 5: Solve for x
    x = 332,633,999,856.58/543,301.92
  6. Step 6: Final answer
    x = 612,245.21

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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.