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Finding the Fourth Proportional to 392,469.57, 541,563.30 and 220,364.51

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Solution

The fourth proportional to 392,469.57, 541,563.30 and 220,364.51 is: 304,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,469.57 : 541,563.30 = 220,364.51 : x
  2. Step 2: Convert to fraction form
    392,469.57/541,563.30 = 220,364.51/x
  3. Step 3: Cross multiply
    392,469.57x = 541,563.30 × 220,364.51
  4. Step 4: Simplify right side
    392,469.57x = 119,341,328,530.67
  5. Step 5: Solve for x
    x = 119,341,328,530.67/392,469.57
  6. Step 6: Final answer
    x = 304,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.