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Finding the Fourth Proportional to 312,517.40, 467,975.40 and 216,321.32

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Solution

The fourth proportional to 312,517.40, 467,975.40 and 216,321.32 is: 323,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,517.40 : 467,975.40 = 216,321.32 : x
  2. Step 2: Convert to fraction form
    312,517.40/467,975.40 = 216,321.32/x
  3. Step 3: Cross multiply
    312,517.40x = 467,975.40 × 216,321.32
  4. Step 4: Simplify right side
    312,517.40x = 101,233,056,255.53
  5. Step 5: Solve for x
    x = 101,233,056,255.53/312,517.40
  6. Step 6: Final answer
    x = 323,927.74

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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.