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Finding the Fourth Proportional to 262,980.53, 394,537.04 and 75,990.77

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Solution

The fourth proportional to 262,980.53, 394,537.04 and 75,990.77 is: 114,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980.53 : 394,537.04 = 75,990.77 : x
  2. Step 2: Convert to fraction form
    262,980.53/394,537.04 = 75,990.77/x
  3. Step 3: Cross multiply
    262,980.53x = 394,537.04 × 75,990.77
  4. Step 4: Simplify right side
    262,980.53x = 29,981,173,463.12
  5. Step 5: Solve for x
    x = 29,981,173,463.12/262,980.53
  6. Step 6: Final answer
    x = 114,005.30

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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.