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Finding the Fourth Proportional to 262,968.80, 394,712.40 and 129,999.20

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Solution

The fourth proportional to 262,968.80, 394,712.40 and 129,999.20 is: 195,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,968.80 : 394,712.40 = 129,999.20 : x
  2. Step 2: Convert to fraction form
    262,968.80/394,712.40 = 129,999.20/x
  3. Step 3: Cross multiply
    262,968.80x = 394,712.40 × 129,999.20
  4. Step 4: Simplify right side
    262,968.80x = 51,312,296,230.08
  5. Step 5: Solve for x
    x = 51,312,296,230.08/262,968.80
  6. Step 6: Final answer
    x = 195,126.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.