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Finding the Fourth Proportional to 309,794.14, 464,601.84 and 85,161.90

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Solution

The fourth proportional to 309,794.14, 464,601.84 and 85,161.90 is: 127,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,794.14 : 464,601.84 = 85,161.90 : x
  2. Step 2: Convert to fraction form
    309,794.14/464,601.84 = 85,161.90/x
  3. Step 3: Cross multiply
    309,794.14x = 464,601.84 × 85,161.90
  4. Step 4: Simplify right side
    309,794.14x = 39,566,375,437.90
  5. Step 5: Solve for x
    x = 39,566,375,437.90/309,794.14
  6. Step 6: Final answer
    x = 127,718.28

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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.