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Finding the Fourth Proportional to 285,273.73, 393,690.05 and 157,949.31

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Solution

The fourth proportional to 285,273.73, 393,690.05 and 157,949.31 is: 217,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,273.73 : 393,690.05 = 157,949.31 : x
  2. Step 2: Convert to fraction form
    285,273.73/393,690.05 = 157,949.31/x
  3. Step 3: Cross multiply
    285,273.73x = 393,690.05 × 157,949.31
  4. Step 4: Simplify right side
    285,273.73x = 62,183,071,751.37
  5. Step 5: Solve for x
    x = 62,183,071,751.37/285,273.73
  6. Step 6: Final answer
    x = 217,976.86

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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.