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Finding the Fourth Proportional to 312,219, 430,862.22 and 178,083

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Solution

The fourth proportional to 312,219, 430,862.22 and 178,083 is: 245,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,219 : 430,862.22 = 178,083 : x
  2. Step 2: Convert to fraction form
    312,219/430,862.22 = 178,083/x
  3. Step 3: Cross multiply
    312,219x = 430,862.22 × 178,083
  4. Step 4: Simplify right side
    312,219x = 76,729,236,724.26
  5. Step 5: Solve for x
    x = 76,729,236,724.26/312,219
  6. Step 6: Final answer
    x = 245,754.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.