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Finding the Fourth Proportional to 543,750.20, 814,823.40 and 394,305.20

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Solution

The fourth proportional to 543,750.20, 814,823.40 and 394,305.20 is: 590,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,750.20 : 814,823.40 = 394,305.20 : x
  2. Step 2: Convert to fraction form
    543,750.20/814,823.40 = 394,305.20/x
  3. Step 3: Cross multiply
    543,750.20x = 814,823.40 × 394,305.20
  4. Step 4: Simplify right side
    543,750.20x = 321,289,103,701.68
  5. Step 5: Solve for x
    x = 321,289,103,701.68/543,750.20
  6. Step 6: Final answer
    x = 590,876.30

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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.