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Finding the Fourth Proportional to 664,372.92, 997,260.78 and 309,729

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Solution

The fourth proportional to 664,372.92, 997,260.78 and 309,729 is: 464,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,372.92 : 997,260.78 = 309,729 : x
  2. Step 2: Convert to fraction form
    664,372.92/997,260.78 = 309,729/x
  3. Step 3: Cross multiply
    664,372.92x = 997,260.78 × 309,729
  4. Step 4: Simplify right side
    664,372.92x = 308,880,584,128.62
  5. Step 5: Solve for x
    x = 308,880,584,128.62/664,372.92
  6. Step 6: Final answer
    x = 464,920.49

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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.