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Finding the Fourth Proportional to 286,014.40, 394,701.60 and 158,692.48

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Solution

The fourth proportional to 286,014.40, 394,701.60 and 158,692.48 is: 218,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,014.40 : 394,701.60 = 158,692.48 : x
  2. Step 2: Convert to fraction form
    286,014.40/394,701.60 = 158,692.48/x
  3. Step 3: Cross multiply
    286,014.40x = 394,701.60 × 158,692.48
  4. Step 4: Simplify right side
    286,014.40x = 62,636,175,763.97
  5. Step 5: Solve for x
    x = 62,636,175,763.97/286,014.40
  6. Step 6: Final answer
    x = 218,996.58

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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.