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Finding the Fourth Proportional to 309,786.81, 464,728.82 and 132,294.75

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Solution

The fourth proportional to 309,786.81, 464,728.82 and 132,294.75 is: 198,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,786.81 : 464,728.82 = 132,294.75 : x
  2. Step 2: Convert to fraction form
    309,786.81/464,728.82 = 132,294.75/x
  3. Step 3: Cross multiply
    309,786.81x = 464,728.82 × 132,294.75
  4. Step 4: Simplify right side
    309,786.81x = 61,481,182,398.22
  5. Step 5: Solve for x
    x = 61,481,182,398.22/309,786.81
  6. Step 6: Final answer
    x = 198,462.88

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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.