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Finding the Fourth Proportional to 358,581.89, 494,801.92 and 205,578

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Solution

The fourth proportional to 358,581.89, 494,801.92 and 205,578 is: 283,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,581.89 : 494,801.92 = 205,578 : x
  2. Step 2: Convert to fraction form
    358,581.89/494,801.92 = 205,578/x
  3. Step 3: Cross multiply
    358,581.89x = 494,801.92 × 205,578
  4. Step 4: Simplify right side
    358,581.89x = 101,720,388,210.36
  5. Step 5: Solve for x
    x = 101,720,388,210.36/358,581.89
  6. Step 6: Final answer
    x = 283,674.08

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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.