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Finding the Fourth Proportional to 299,016.66, 448,524.99 and 205,238.10

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Solution

The fourth proportional to 299,016.66, 448,524.99 and 205,238.10 is: 307,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,016.66 : 448,524.99 = 205,238.10 : x
  2. Step 2: Convert to fraction form
    299,016.66/448,524.99 = 205,238.10/x
  3. Step 3: Cross multiply
    299,016.66x = 448,524.99 × 205,238.10
  4. Step 4: Simplify right side
    299,016.66x = 92,054,416,750.12
  5. Step 5: Solve for x
    x = 92,054,416,750.12/299,016.66
  6. Step 6: Final answer
    x = 307,857.15

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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.