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Finding the Fourth Proportional to 285,984.70, 394,706.13 and 158,701.30

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Solution

The fourth proportional to 285,984.70, 394,706.13 and 158,701.30 is: 219,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.70 : 394,706.13 = 158,701.30 : x
  2. Step 2: Convert to fraction form
    285,984.70/394,706.13 = 158,701.30/x
  3. Step 3: Cross multiply
    285,984.70x = 394,706.13 × 158,701.30
  4. Step 4: Simplify right side
    285,984.70x = 62,640,375,948.97
  5. Step 5: Solve for x
    x = 62,640,375,948.97/285,984.70
  6. Step 6: Final answer
    x = 219,034.01

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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.