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Finding the Fourth Proportional to 384,999.40, 576,884.70 and 322,330.60

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Solution

The fourth proportional to 384,999.40, 576,884.70 and 322,330.60 is: 482,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,999.40 : 576,884.70 = 322,330.60 : x
  2. Step 2: Convert to fraction form
    384,999.40/576,884.70 = 322,330.60/x
  3. Step 3: Cross multiply
    384,999.40x = 576,884.70 × 322,330.60
  4. Step 4: Simplify right side
    384,999.40x = 185,947,591,481.82
  5. Step 5: Solve for x
    x = 185,947,591,481.82/384,999.40
  6. Step 6: Final answer
    x = 482,981.51

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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.