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Finding the Fourth Proportional to 285,896.50, 394,539.02 and 158,572.42

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Solution

The fourth proportional to 285,896.50, 394,539.02 and 158,572.42 is: 218,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.50 : 394,539.02 = 158,572.42 : x
  2. Step 2: Convert to fraction form
    285,896.50/394,539.02 = 158,572.42/x
  3. Step 3: Cross multiply
    285,896.50x = 394,539.02 × 158,572.42
  4. Step 4: Simplify right side
    285,896.50x = 62,563,007,185.83
  5. Step 5: Solve for x
    x = 62,563,007,185.83/285,896.50
  6. Step 6: Final answer
    x = 218,830.97

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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.