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Finding the Fourth Proportional to 285,820.60, 394,406.58 and 158,495.80

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Solution

The fourth proportional to 285,820.60, 394,406.58 and 158,495.80 is: 218,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,820.60 : 394,406.58 = 158,495.80 : x
  2. Step 2: Convert to fraction form
    285,820.60/394,406.58 = 158,495.80/x
  3. Step 3: Cross multiply
    285,820.60x = 394,406.58 × 158,495.80
  4. Step 4: Simplify right side
    285,820.60x = 62,511,786,422.36
  5. Step 5: Solve for x
    x = 62,511,786,422.36/285,820.60
  6. Step 6: Final answer
    x = 218,709.87

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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.