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Finding the Fourth Proportional to 313,551.62, 470,295.38 and 85,867.48

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Solution

The fourth proportional to 313,551.62, 470,295.38 and 85,867.48 is: 128,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,551.62 : 470,295.38 = 85,867.48 : x
  2. Step 2: Convert to fraction form
    313,551.62/470,295.38 = 85,867.48/x
  3. Step 3: Cross multiply
    313,551.62x = 470,295.38 × 85,867.48
  4. Step 4: Simplify right side
    313,551.62x = 40,383,079,136.24
  5. Step 5: Solve for x
    x = 40,383,079,136.24/313,551.62
  6. Step 6: Final answer
    x = 128,792.44

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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.