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Finding the Fourth Proportional to 321,734, 443,993.28 and 187,623.92

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Solution

The fourth proportional to 321,734, 443,993.28 and 187,623.92 is: 258,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,734 : 443,993.28 = 187,623.92 : x
  2. Step 2: Convert to fraction form
    321,734/443,993.28 = 187,623.92/x
  3. Step 3: Cross multiply
    321,734x = 443,993.28 × 187,623.92
  4. Step 4: Simplify right side
    321,734x = 83,303,759,647.26
  5. Step 5: Solve for x
    x = 83,303,759,647.26/321,734
  6. Step 6: Final answer
    x = 258,921.22

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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.