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Finding the Fourth Proportional to 393,257.94, 542,742.12 and 223,517.58

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Solution

The fourth proportional to 393,257.94, 542,742.12 and 223,517.58 is: 308,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,257.94 : 542,742.12 = 223,517.58 : x
  2. Step 2: Convert to fraction form
    393,257.94/542,742.12 = 223,517.58/x
  3. Step 3: Cross multiply
    393,257.94x = 542,742.12 × 223,517.58
  4. Step 4: Simplify right side
    393,257.94x = 121,312,405,226.47
  5. Step 5: Solve for x
    x = 121,312,405,226.47/393,257.94
  6. Step 6: Final answer
    x = 308,480.50

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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.