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Finding the Fourth Proportional to 395,441.73, 593,039.79 and 142,689.33

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Solution

The fourth proportional to 395,441.73, 593,039.79 and 142,689.33 is: 213,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,441.73 : 593,039.79 = 142,689.33 : x
  2. Step 2: Convert to fraction form
    395,441.73/593,039.79 = 142,689.33/x
  3. Step 3: Cross multiply
    395,441.73x = 593,039.79 × 142,689.33
  4. Step 4: Simplify right side
    395,441.73x = 84,620,450,298.44
  5. Step 5: Solve for x
    x = 84,620,450,298.44/395,441.73
  6. Step 6: Final answer
    x = 213,989.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.