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Finding the Fourth Proportional to 393,379.43, 542,862.81 and 221,297.51

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Solution

The fourth proportional to 393,379.43, 542,862.81 and 221,297.51 is: 305,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,379.43 : 542,862.81 = 221,297.51 : x
  2. Step 2: Convert to fraction form
    393,379.43/542,862.81 = 221,297.51/x
  3. Step 3: Cross multiply
    393,379.43x = 542,862.81 × 221,297.51
  4. Step 4: Simplify right side
    393,379.43x = 120,134,188,124.60
  5. Step 5: Solve for x
    x = 120,134,188,124.60/393,379.43
  6. Step 6: Final answer
    x = 305,390.11

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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.