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Finding the Fourth Proportional to 309,785.65, 464,589.15 and 85,153.41

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Solution

The fourth proportional to 309,785.65, 464,589.15 and 85,153.41 is: 127,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,785.65 : 464,589.15 = 85,153.41 : x
  2. Step 2: Convert to fraction form
    309,785.65/464,589.15 = 85,153.41/x
  3. Step 3: Cross multiply
    309,785.65x = 464,589.15 × 85,153.41
  4. Step 4: Simplify right side
    309,785.65x = 39,561,350,371.50
  5. Step 5: Solve for x
    x = 39,561,350,371.50/309,785.65
  6. Step 6: Final answer
    x = 127,705.56

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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.