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Finding the Fourth Proportional to 323,997.36, 447,110 and 178,816.80

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Solution

The fourth proportional to 323,997.36, 447,110 and 178,816.80 is: 246,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,997.36 : 447,110 = 178,816.80 : x
  2. Step 2: Convert to fraction form
    323,997.36/447,110 = 178,816.80/x
  3. Step 3: Cross multiply
    323,997.36x = 447,110 × 178,816.80
  4. Step 4: Simplify right side
    323,997.36x = 79,950,779,448
  5. Step 5: Solve for x
    x = 79,950,779,448/323,997.36
  6. Step 6: Final answer
    x = 246,763.68

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1.5x scale

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.