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Finding the Fourth Proportional to 285,984.42, 394,705.71 and 158,701.02

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Solution

The fourth proportional to 285,984.42, 394,705.71 and 158,701.02 is: 219,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.42 : 394,705.71 = 158,701.02 : x
  2. Step 2: Convert to fraction form
    285,984.42/394,705.71 = 158,701.02/x
  3. Step 3: Cross multiply
    285,984.42x = 394,705.71 × 158,701.02
  4. Step 4: Simplify right side
    285,984.42x = 62,640,198,776.82
  5. Step 5: Solve for x
    x = 62,640,198,776.82/285,984.42
  6. Step 6: Final answer
    x = 219,033.61

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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.