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Finding the Fourth Proportional to 279,797.16, 419,654.86 and 137,604.27

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Solution

The fourth proportional to 279,797.16, 419,654.86 and 137,604.27 is: 206,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,797.16 : 419,654.86 = 137,604.27 : x
  2. Step 2: Convert to fraction form
    279,797.16/419,654.86 = 137,604.27/x
  3. Step 3: Cross multiply
    279,797.16x = 419,654.86 × 137,604.27
  4. Step 4: Simplify right side
    279,797.16x = 57,746,300,318.24
  5. Step 5: Solve for x
    x = 57,746,300,318.24/279,797.16
  6. Step 6: Final answer
    x = 206,386.30

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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.