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Finding the Fourth Proportional to 312,659.53, 468,940.26 and 99,399.49

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Solution

The fourth proportional to 312,659.53, 468,940.26 and 99,399.49 is: 149,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,659.53 : 468,940.26 = 99,399.49 : x
  2. Step 2: Convert to fraction form
    312,659.53/468,940.26 = 99,399.49/x
  3. Step 3: Cross multiply
    312,659.53x = 468,940.26 × 99,399.49
  4. Step 4: Simplify right side
    312,659.53x = 46,612,422,684.47
  5. Step 5: Solve for x
    x = 46,612,422,684.47/312,659.53
  6. Step 6: Final answer
    x = 149,083.65

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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.