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Finding the Fourth Proportional to 312,270.33, 468,335.42 and 143,628.64

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Solution

The fourth proportional to 312,270.33, 468,335.42 and 143,628.64 is: 215,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,270.33 : 468,335.42 = 143,628.64 : x
  2. Step 2: Convert to fraction form
    312,270.33/468,335.42 = 143,628.64/x
  3. Step 3: Cross multiply
    312,270.33x = 468,335.42 × 143,628.64
  4. Step 4: Simplify right side
    312,270.33x = 67,266,378,626.66
  5. Step 5: Solve for x
    x = 67,266,378,626.66/312,270.33
  6. Step 6: Final answer
    x = 215,410.73

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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.