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Finding the Fourth Proportional to 285,324.87, 393,743.46 and 157,997.73

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Solution

The fourth proportional to 285,324.87, 393,743.46 and 157,997.73 is: 218,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,324.87 : 393,743.46 = 157,997.73 : x
  2. Step 2: Convert to fraction form
    285,324.87/393,743.46 = 157,997.73/x
  3. Step 3: Cross multiply
    285,324.87x = 393,743.46 × 157,997.73
  4. Step 4: Simplify right side
    285,324.87x = 62,210,572,882.35
  5. Step 5: Solve for x
    x = 62,210,572,882.35/285,324.87
  6. Step 6: Final answer
    x = 218,034.18

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1.5x scale

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.