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Finding the Fourth Proportional to 358,709.50, 494,975.77 and 205,739.79

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Solution

The fourth proportional to 358,709.50, 494,975.77 and 205,739.79 is: 283,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,709.50 : 494,975.77 = 205,739.79 : x
  2. Step 2: Convert to fraction form
    358,709.50/494,975.77 = 205,739.79/x
  3. Step 3: Cross multiply
    358,709.50x = 494,975.77 × 205,739.79
  4. Step 4: Simplify right side
    358,709.50x = 101,836,210,974.89
  5. Step 5: Solve for x
    x = 101,836,210,974.89/358,709.50
  6. Step 6: Final answer
    x = 283,896.05

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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.