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Finding the Fourth Proportional to 285,388, 393,835.52 and 166,156

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Solution

The fourth proportional to 285,388, 393,835.52 and 166,156 is: 229,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,388 : 393,835.52 = 166,156 : x
  2. Step 2: Convert to fraction form
    285,388/393,835.52 = 166,156/x
  3. Step 3: Cross multiply
    285,388x = 393,835.52 × 166,156
  4. Step 4: Simplify right side
    285,388x = 65,438,134,661.12
  5. Step 5: Solve for x
    x = 65,438,134,661.12/285,388
  6. Step 6: Final answer
    x = 229,295.33

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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.