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Finding the Fourth Proportional to 613,517.49, 920,422.29 and 309,163.84

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Solution

The fourth proportional to 613,517.49, 920,422.29 and 309,163.84 is: 463,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,517.49 : 920,422.29 = 309,163.84 : x
  2. Step 2: Convert to fraction form
    613,517.49/920,422.29 = 309,163.84/x
  3. Step 3: Cross multiply
    613,517.49x = 920,422.29 × 309,163.84
  4. Step 4: Simplify right side
    613,517.49x = 284,561,286,717.26
  5. Step 5: Solve for x
    x = 284,561,286,717.26/613,517.49
  6. Step 6: Final answer
    x = 463,819.36

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1.5x scale

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.