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Finding the Fourth Proportional to 285,759.90, 394,372.80 and 158,476.50

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Solution

The fourth proportional to 285,759.90, 394,372.80 and 158,476.50 is: 218,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,759.90 : 394,372.80 = 158,476.50 : x
  2. Step 2: Convert to fraction form
    285,759.90/394,372.80 = 158,476.50/x
  3. Step 3: Cross multiply
    285,759.90x = 394,372.80 × 158,476.50
  4. Step 4: Simplify right side
    285,759.90x = 62,498,821,039.20
  5. Step 5: Solve for x
    x = 62,498,821,039.20/285,759.90
  6. Step 6: Final answer
    x = 218,710.96

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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.