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Finding the Fourth Proportional to 468,976.43, 647,199.42 and 287,788.43

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Solution

The fourth proportional to 468,976.43, 647,199.42 and 287,788.43 is: 397,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,976.43 : 647,199.42 = 287,788.43 : x
  2. Step 2: Convert to fraction form
    468,976.43/647,199.42 = 287,788.43/x
  3. Step 3: Cross multiply
    468,976.43x = 647,199.42 × 287,788.43
  4. Step 4: Simplify right side
    468,976.43x = 186,256,504,978.71
  5. Step 5: Solve for x
    x = 186,256,504,978.71/468,976.43
  6. Step 6: Final answer
    x = 397,155.36

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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.