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Finding the Fourth Proportional to 358,340.28, 494,530 and 205,403.90

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Solution

The fourth proportional to 358,340.28, 494,530 and 205,403.90 is: 283,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,340.28 : 494,530 = 205,403.90 : x
  2. Step 2: Convert to fraction form
    358,340.28/494,530 = 205,403.90/x
  3. Step 3: Cross multiply
    358,340.28x = 494,530 × 205,403.90
  4. Step 4: Simplify right side
    358,340.28x = 101,578,390,667
  5. Step 5: Solve for x
    x = 101,578,390,667/358,340.28
  6. Step 6: Final answer
    x = 283,469.08

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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.