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Finding the Fourth Proportional to 299,015.40, 448,523.10 and 205,236.84

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Solution

The fourth proportional to 299,015.40, 448,523.10 and 205,236.84 is: 307,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,015.40 : 448,523.10 = 205,236.84 : x
  2. Step 2: Convert to fraction form
    299,015.40/448,523.10 = 205,236.84/x
  3. Step 3: Cross multiply
    299,015.40x = 448,523.10 × 205,236.84
  4. Step 4: Simplify right side
    299,015.40x = 92,053,463,711.00
  5. Step 5: Solve for x
    x = 92,053,463,711.00/299,015.40
  6. Step 6: Final answer
    x = 307,855.26

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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.