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Finding the Fourth Proportional to 312,540.44, 468,817.52 and 216,382.91

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Solution

The fourth proportional to 312,540.44, 468,817.52 and 216,382.91 is: 324,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,540.44 : 468,817.52 = 216,382.91 : x
  2. Step 2: Convert to fraction form
    312,540.44/468,817.52 = 216,382.91/x
  3. Step 3: Cross multiply
    312,540.44x = 468,817.52 × 216,382.91
  4. Step 4: Simplify right side
    312,540.44x = 101,444,095,810.58
  5. Step 5: Solve for x
    x = 101,444,095,810.58/312,540.44
  6. Step 6: Final answer
    x = 324,579.11

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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.