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Finding the Fourth Proportional to 309,852.28, 464,729.82 and 85,229.56

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Solution

The fourth proportional to 309,852.28, 464,729.82 and 85,229.56 is: 127,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,852.28 : 464,729.82 = 85,229.56 : x
  2. Step 2: Convert to fraction form
    309,852.28/464,729.82 = 85,229.56/x
  3. Step 3: Cross multiply
    309,852.28x = 464,729.82 × 85,229.56
  4. Step 4: Simplify right side
    309,852.28x = 39,608,718,077.48
  5. Step 5: Solve for x
    x = 39,608,718,077.48/309,852.28
  6. Step 6: Final answer
    x = 127,830.97

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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.