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Finding the Fourth Proportional to 358,300.64, 494,398.42 and 205,309.42

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Solution

The fourth proportional to 358,300.64, 494,398.42 and 205,309.42 is: 283,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,300.64 : 494,398.42 = 205,309.42 : x
  2. Step 2: Convert to fraction form
    358,300.64/494,398.42 = 205,309.42/x
  3. Step 3: Cross multiply
    358,300.64x = 494,398.42 × 205,309.42
  4. Step 4: Simplify right side
    358,300.64x = 101,504,651,109.85
  5. Step 5: Solve for x
    x = 101,504,651,109.85/358,300.64
  6. Step 6: Final answer
    x = 283,294.64

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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.