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Finding the Fourth Proportional to 358,301.58, 494,399.64 and 205,310.34

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Solution

The fourth proportional to 358,301.58, 494,399.64 and 205,310.34 is: 283,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,301.58 : 494,399.64 = 205,310.34 : x
  2. Step 2: Convert to fraction form
    358,301.58/494,399.64 = 205,310.34/x
  3. Step 3: Cross multiply
    358,301.58x = 494,399.64 × 205,310.34
  4. Step 4: Simplify right side
    358,301.58x = 101,505,358,184.28
  5. Step 5: Solve for x
    x = 101,505,358,184.28/358,301.58
  6. Step 6: Final answer
    x = 283,295.87

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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.