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Finding the Fourth Proportional to 645,744, 968,620.80 and 225,019.20

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Solution

The fourth proportional to 645,744, 968,620.80 and 225,019.20 is: 337,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,744 : 968,620.80 = 225,019.20 : x
  2. Step 2: Convert to fraction form
    645,744/968,620.80 = 225,019.20/x
  3. Step 3: Cross multiply
    645,744x = 968,620.80 × 225,019.20
  4. Step 4: Simplify right side
    645,744x = 217,958,277,519.36
  5. Step 5: Solve for x
    x = 217,958,277,519.36/645,744
  6. Step 6: Final answer
    x = 337,530.47

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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.