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Finding the Fourth Proportional to 309,634.87, 464,340.87 and 107,175.96

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Solution

The fourth proportional to 309,634.87, 464,340.87 and 107,175.96 is: 160,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,634.87 : 464,340.87 = 107,175.96 : x
  2. Step 2: Convert to fraction form
    309,634.87/464,340.87 = 107,175.96/x
  3. Step 3: Cross multiply
    309,634.87x = 464,340.87 × 107,175.96
  4. Step 4: Simplify right side
    309,634.87x = 49,766,179,670.34
  5. Step 5: Solve for x
    x = 49,766,179,670.34/309,634.87
  6. Step 6: Final answer
    x = 160,725.37

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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.