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Finding the Fourth Proportional to 285,508.96, 393,997.26 and 158,182

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Solution

The fourth proportional to 285,508.96, 393,997.26 and 158,182 is: 218,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,508.96 : 393,997.26 = 158,182 : x
  2. Step 2: Convert to fraction form
    285,508.96/393,997.26 = 158,182/x
  3. Step 3: Cross multiply
    285,508.96x = 393,997.26 × 158,182
  4. Step 4: Simplify right side
    285,508.96x = 62,323,274,581.32
  5. Step 5: Solve for x
    x = 62,323,274,581.32/285,508.96
  6. Step 6: Final answer
    x = 218,288.33

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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.