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Finding the Fourth Proportional to 468,964.64, 647,183.25 and 287,776.68

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Solution

The fourth proportional to 468,964.64, 647,183.25 and 287,776.68 is: 397,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,964.64 : 647,183.25 = 287,776.68 : x
  2. Step 2: Convert to fraction form
    468,964.64/647,183.25 = 287,776.68/x
  3. Step 3: Cross multiply
    468,964.64x = 647,183.25 × 287,776.68
  4. Step 4: Simplify right side
    468,964.64x = 186,244,247,036.61
  5. Step 5: Solve for x
    x = 186,244,247,036.61/468,964.64
  6. Step 6: Final answer
    x = 397,139.22

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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.