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Finding the Fourth Proportional to 262,717.94, 394,132.32 and 85,211.17

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Solution

The fourth proportional to 262,717.94, 394,132.32 and 85,211.17 is: 127,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,717.94 : 394,132.32 = 85,211.17 : x
  2. Step 2: Convert to fraction form
    262,717.94/394,132.32 = 85,211.17/x
  3. Step 3: Cross multiply
    262,717.94x = 394,132.32 × 85,211.17
  4. Step 4: Simplify right side
    262,717.94x = 33,584,475,136.68
  5. Step 5: Solve for x
    x = 33,584,475,136.68/262,717.94
  6. Step 6: Final answer
    x = 127,834.72

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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.