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Finding the Fourth Proportional to 285,504.96, 393,991.74 and 158,178

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Solution

The fourth proportional to 285,504.96, 393,991.74 and 158,178 is: 218,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,504.96 : 393,991.74 = 158,178 : x
  2. Step 2: Convert to fraction form
    285,504.96/393,991.74 = 158,178/x
  3. Step 3: Cross multiply
    285,504.96x = 393,991.74 × 158,178
  4. Step 4: Simplify right side
    285,504.96x = 62,320,825,449.72
  5. Step 5: Solve for x
    x = 62,320,825,449.72/285,504.96
  6. Step 6: Final answer
    x = 218,282.81

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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.