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Finding the Fourth Proportional to 285,063.78, 393,429.74 and 164,181.54

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Solution

The fourth proportional to 285,063.78, 393,429.74 and 164,181.54 is: 226,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,063.78 : 393,429.74 = 164,181.54 : x
  2. Step 2: Convert to fraction form
    285,063.78/393,429.74 = 164,181.54/x
  3. Step 3: Cross multiply
    285,063.78x = 393,429.74 × 164,181.54
  4. Step 4: Simplify right side
    285,063.78x = 64,593,900,595.00
  5. Step 5: Solve for x
    x = 64,593,900,595.00/285,063.78
  6. Step 6: Final answer
    x = 226,594.56

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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.