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Finding the Fourth Proportional to 285,471.88, 393,922.48 and 158,123.68

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Solution

The fourth proportional to 285,471.88, 393,922.48 and 158,123.68 is: 218,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471.88 : 393,922.48 = 158,123.68 : x
  2. Step 2: Convert to fraction form
    285,471.88/393,922.48 = 158,123.68/x
  3. Step 3: Cross multiply
    285,471.88x = 393,922.48 × 158,123.68
  4. Step 4: Simplify right side
    285,471.88x = 62,288,470,792.21
  5. Step 5: Solve for x
    x = 62,288,470,792.21/285,471.88
  6. Step 6: Final answer
    x = 218,194.77

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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.