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Finding the Fourth Proportional to 245,278.80, 367,966.80 and 206,107.20

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Solution

The fourth proportional to 245,278.80, 367,966.80 and 206,107.20 is: 309,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,278.80 : 367,966.80 = 206,107.20 : x
  2. Step 2: Convert to fraction form
    245,278.80/367,966.80 = 206,107.20/x
  3. Step 3: Cross multiply
    245,278.80x = 367,966.80 × 206,107.20
  4. Step 4: Simplify right side
    245,278.80x = 75,840,606,840.96
  5. Step 5: Solve for x
    x = 75,840,606,840.96/245,278.80
  6. Step 6: Final answer
    x = 309,201.64

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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.