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Finding the Fourth Proportional to 309,816.78, 464,773.89 and 132,324.78

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Solution

The fourth proportional to 309,816.78, 464,773.89 and 132,324.78 is: 198,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,816.78 : 464,773.89 = 132,324.78 : x
  2. Step 2: Convert to fraction form
    309,816.78/464,773.89 = 132,324.78/x
  3. Step 3: Cross multiply
    309,816.78x = 464,773.89 × 132,324.78
  4. Step 4: Simplify right side
    309,816.78x = 61,501,102,743.99
  5. Step 5: Solve for x
    x = 61,501,102,743.99/309,816.78
  6. Step 6: Final answer
    x = 198,507.98

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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.