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Finding the Fourth Proportional to 393,433.55, 542,925.94 and 221,361.31

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Solution

The fourth proportional to 393,433.55, 542,925.94 and 221,361.31 is: 305,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,433.55 : 542,925.94 = 221,361.31 : x
  2. Step 2: Convert to fraction form
    393,433.55/542,925.94 = 221,361.31/x
  3. Step 3: Cross multiply
    393,433.55x = 542,925.94 × 221,361.31
  4. Step 4: Simplify right side
    393,433.55x = 120,182,794,797.73
  5. Step 5: Solve for x
    x = 120,182,794,797.73/393,433.55
  6. Step 6: Final answer
    x = 305,471.64

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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.