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Finding the Fourth Proportional to 393,441.58, 542,949.41 and 223,675.71

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Solution

The fourth proportional to 393,441.58, 542,949.41 and 223,675.71 is: 308,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,441.58 : 542,949.41 = 223,675.71 : x
  2. Step 2: Convert to fraction form
    393,441.58/542,949.41 = 223,675.71/x
  3. Step 3: Cross multiply
    393,441.58x = 542,949.41 × 223,675.71
  4. Step 4: Simplify right side
    393,441.58x = 121,444,593,418.46
  5. Step 5: Solve for x
    x = 121,444,593,418.46/393,441.58
  6. Step 6: Final answer
    x = 308,672.49

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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.