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Finding the Fourth Proportional to 400,220.30, 600,420 and 210,769.85

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Solution

The fourth proportional to 400,220.30, 600,420 and 210,769.85 is: 316,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,220.30 : 600,420 = 210,769.85 : x
  2. Step 2: Convert to fraction form
    400,220.30/600,420 = 210,769.85/x
  3. Step 3: Cross multiply
    400,220.30x = 600,420 × 210,769.85
  4. Step 4: Simplify right side
    400,220.30x = 126,550,433,337
  5. Step 5: Solve for x
    x = 126,550,433,337/400,220.30
  6. Step 6: Final answer
    x = 316,201.94

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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.