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Finding the Fourth Proportional to 309,815.28, 464,771.64 and 132,323.28

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Solution

The fourth proportional to 309,815.28, 464,771.64 and 132,323.28 is: 198,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,815.28 : 464,771.64 = 132,323.28 : x
  2. Step 2: Convert to fraction form
    309,815.28/464,771.64 = 132,323.28/x
  3. Step 3: Cross multiply
    309,815.28x = 464,771.64 × 132,323.28
  4. Step 4: Simplify right side
    309,815.28x = 61,500,107,855.78
  5. Step 5: Solve for x
    x = 61,500,107,855.78/309,815.28
  6. Step 6: Final answer
    x = 198,505.73

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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.