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Finding the Fourth Proportional to 309,939.43, 464,854.69 and 85,245.69

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Solution

The fourth proportional to 309,939.43, 464,854.69 and 85,245.69 is: 127,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,939.43 : 464,854.69 = 85,245.69 : x
  2. Step 2: Convert to fraction form
    309,939.43/464,854.69 = 85,245.69/x
  3. Step 3: Cross multiply
    309,939.43x = 464,854.69 × 85,245.69
  4. Step 4: Simplify right side
    309,939.43x = 39,626,858,798.79
  5. Step 5: Solve for x
    x = 39,626,858,798.79/309,939.43
  6. Step 6: Final answer
    x = 127,853.56

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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.