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Finding the Fourth Proportional to 285,063.76, 393,429.52 and 164,181.52

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Solution

The fourth proportional to 285,063.76, 393,429.52 and 164,181.52 is: 226,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,063.76 : 393,429.52 = 164,181.52 : x
  2. Step 2: Convert to fraction form
    285,063.76/393,429.52 = 164,181.52/x
  3. Step 3: Cross multiply
    285,063.76x = 393,429.52 × 164,181.52
  4. Step 4: Simplify right side
    285,063.76x = 64,593,856,606.47
  5. Step 5: Solve for x
    x = 64,593,856,606.47/285,063.76
  6. Step 6: Final answer
    x = 226,594.42

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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.