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Finding the Fourth Proportional to 285,471.59, 393,922.09 and 158,123.39

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Solution

The fourth proportional to 285,471.59, 393,922.09 and 158,123.39 is: 218,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471.59 : 393,922.09 = 158,123.39 : x
  2. Step 2: Convert to fraction form
    285,471.59/393,922.09 = 158,123.39/x
  3. Step 3: Cross multiply
    285,471.59x = 393,922.09 × 158,123.39
  4. Step 4: Simplify right side
    285,471.59x = 62,288,296,856.18
  5. Step 5: Solve for x
    x = 62,288,296,856.18/285,471.59
  6. Step 6: Final answer
    x = 218,194.38

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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.