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Finding the Fourth Proportional to 609,205.87, 914,647.38 and 309,889

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Solution

The fourth proportional to 609,205.87, 914,647.38 and 309,889 is: 465,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,205.87 : 914,647.38 = 309,889 : x
  2. Step 2: Convert to fraction form
    609,205.87/914,647.38 = 309,889/x
  3. Step 3: Cross multiply
    609,205.87x = 914,647.38 × 309,889
  4. Step 4: Simplify right side
    609,205.87x = 283,439,161,940.82
  5. Step 5: Solve for x
    x = 283,439,161,940.82/609,205.87
  6. Step 6: Final answer
    x = 465,260.06

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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.