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Finding the Fourth Proportional to 664,514, 996,761.60 and 309,329.36

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Solution

The fourth proportional to 664,514, 996,761.60 and 309,329.36 is: 463,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,514 : 996,761.60 = 309,329.36 : x
  2. Step 2: Convert to fraction form
    664,514/996,761.60 = 309,329.36/x
  3. Step 3: Cross multiply
    664,514x = 996,761.60 × 309,329.36
  4. Step 4: Simplify right side
    664,514x = 308,327,627,800.58
  5. Step 5: Solve for x
    x = 308,327,627,800.58/664,514
  6. Step 6: Final answer
    x = 463,989.66

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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.