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Finding the Fourth Proportional to 543,308.85, 815,499.63 and 407,901.96

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Solution

The fourth proportional to 543,308.85, 815,499.63 and 407,901.96 is: 612,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,308.85 : 815,499.63 = 407,901.96 : x
  2. Step 2: Convert to fraction form
    543,308.85/815,499.63 = 407,901.96/x
  3. Step 3: Cross multiply
    543,308.85x = 815,499.63 × 407,901.96
  4. Step 4: Simplify right side
    543,308.85x = 332,643,897,456.28
  5. Step 5: Solve for x
    x = 332,643,897,456.28/543,308.85
  6. Step 6: Final answer
    x = 612,255.62

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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.