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Finding the Fourth Proportional to 643,016.64, 964,327.97 and 444,612

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Solution

The fourth proportional to 643,016.64, 964,327.97 and 444,612 is: 666,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,016.64 : 964,327.97 = 444,612 : x
  2. Step 2: Convert to fraction form
    643,016.64/964,327.97 = 444,612/x
  3. Step 3: Cross multiply
    643,016.64x = 964,327.97 × 444,612
  4. Step 4: Simplify right side
    643,016.64x = 428,751,787,397.64
  5. Step 5: Solve for x
    x = 428,751,787,397.64/643,016.64
  6. Step 6: Final answer
    x = 666,781.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.