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Finding the Fourth Proportional to 297,958.56, 410,780.36 and 202,299.20

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Solution

The fourth proportional to 297,958.56, 410,780.36 and 202,299.20 is: 278,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,958.56 : 410,780.36 = 202,299.20 : x
  2. Step 2: Convert to fraction form
    297,958.56/410,780.36 = 202,299.20/x
  3. Step 3: Cross multiply
    297,958.56x = 410,780.36 × 202,299.20
  4. Step 4: Simplify right side
    297,958.56x = 83,100,538,203.71
  5. Step 5: Solve for x
    x = 83,100,538,203.71/297,958.56
  6. Step 6: Final answer
    x = 278,899.65

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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.