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Finding the Fourth Proportional to 543,363.20, 814,267.20 and 400,090.40

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Solution

The fourth proportional to 543,363.20, 814,267.20 and 400,090.40 is: 599,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,363.20 : 814,267.20 = 400,090.40 : x
  2. Step 2: Convert to fraction form
    543,363.20/814,267.20 = 400,090.40/x
  3. Step 3: Cross multiply
    543,363.20x = 814,267.20 × 400,090.40
  4. Step 4: Simplify right side
    543,363.20x = 325,780,489,754.88
  5. Step 5: Solve for x
    x = 325,780,489,754.88/543,363.20
  6. Step 6: Final answer
    x = 599,563.04

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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.