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Finding the Fourth Proportional to 285,274.27, 393,690.79 and 157,949.87

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Solution

The fourth proportional to 285,274.27, 393,690.79 and 157,949.87 is: 217,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,274.27 : 393,690.79 = 157,949.87 : x
  2. Step 2: Convert to fraction form
    285,274.27/393,690.79 = 157,949.87/x
  3. Step 3: Cross multiply
    285,274.27x = 393,690.79 × 157,949.87
  4. Step 4: Simplify right side
    285,274.27x = 62,183,407,329.68
  5. Step 5: Solve for x
    x = 62,183,407,329.68/285,274.27
  6. Step 6: Final answer
    x = 217,977.62

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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.