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Finding the Fourth Proportional to 543,908.80, 815,863.20 and 463,427.20

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Solution

The fourth proportional to 543,908.80, 815,863.20 and 463,427.20 is: 695,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,908.80 : 815,863.20 = 463,427.20 : x
  2. Step 2: Convert to fraction form
    543,908.80/815,863.20 = 463,427.20/x
  3. Step 3: Cross multiply
    543,908.80x = 815,863.20 × 463,427.20
  4. Step 4: Simplify right side
    543,908.80x = 378,093,198,359.04
  5. Step 5: Solve for x
    x = 378,093,198,359.04/543,908.80
  6. Step 6: Final answer
    x = 695,140.80

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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.