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Finding the Fourth Proportional to 540,770.96, 811,270.66 and 203,804.48

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Solution

The fourth proportional to 540,770.96, 811,270.66 and 203,804.48 is: 305,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,770.96 : 811,270.66 = 203,804.48 : x
  2. Step 2: Convert to fraction form
    540,770.96/811,270.66 = 203,804.48/x
  3. Step 3: Cross multiply
    540,770.96x = 811,270.66 × 203,804.48
  4. Step 4: Simplify right side
    540,770.96x = 165,340,595,000.56
  5. Step 5: Solve for x
    x = 165,340,595,000.56/540,770.96
  6. Step 6: Final answer
    x = 305,749.77

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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.