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Finding the Fourth Proportional to 285,171.50, 393,624.27 and 164,393.52

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Solution

The fourth proportional to 285,171.50, 393,624.27 and 164,393.52 is: 226,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,171.50 : 393,624.27 = 164,393.52 : x
  2. Step 2: Convert to fraction form
    285,171.50/393,624.27 = 164,393.52/x
  3. Step 3: Cross multiply
    285,171.50x = 393,624.27 × 164,393.52
  4. Step 4: Simplify right side
    285,171.50x = 64,709,279,302.73
  5. Step 5: Solve for x
    x = 64,709,279,302.73/285,171.50
  6. Step 6: Final answer
    x = 226,913.56

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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.