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Finding the Fourth Proportional to 591,997.76, 816,940.32 and 323,720

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Solution

The fourth proportional to 591,997.76, 816,940.32 and 323,720 is: 446,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,997.76 : 816,940.32 = 323,720 : x
  2. Step 2: Convert to fraction form
    591,997.76/816,940.32 = 323,720/x
  3. Step 3: Cross multiply
    591,997.76x = 816,940.32 × 323,720
  4. Step 4: Simplify right side
    591,997.76x = 264,459,920,390.40
  5. Step 5: Solve for x
    x = 264,459,920,390.40/591,997.76
  6. Step 6: Final answer
    x = 446,724.53

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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.