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Finding the Fourth Proportional to 410,822.80, 615,715.80 and 200,006.80

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Solution

The fourth proportional to 410,822.80, 615,715.80 and 200,006.80 is: 299,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,822.80 : 615,715.80 = 200,006.80 : x
  2. Step 2: Convert to fraction form
    410,822.80/615,715.80 = 200,006.80/x
  3. Step 3: Cross multiply
    410,822.80x = 615,715.80 × 200,006.80
  4. Step 4: Simplify right side
    410,822.80x = 123,147,346,867.44
  5. Step 5: Solve for x
    x = 123,147,346,867.44/410,822.80
  6. Step 6: Final answer
    x = 299,757.82

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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.