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Finding the Fourth Proportional to 285,429.56, 393,893.30 and 158,102.42

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Solution

The fourth proportional to 285,429.56, 393,893.30 and 158,102.42 is: 218,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,429.56 : 393,893.30 = 158,102.42 : x
  2. Step 2: Convert to fraction form
    285,429.56/393,893.30 = 158,102.42/x
  3. Step 3: Cross multiply
    285,429.56x = 393,893.30 × 158,102.42
  4. Step 4: Simplify right side
    285,429.56x = 62,275,483,951.79
  5. Step 5: Solve for x
    x = 62,275,483,951.79/285,429.56
  6. Step 6: Final answer
    x = 218,181.62

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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.