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Finding the Fourth Proportional to 299,338.63, 448,769.53 and 172,835.38

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Solution

The fourth proportional to 299,338.63, 448,769.53 and 172,835.38 is: 259,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,338.63 : 448,769.53 = 172,835.38 : x
  2. Step 2: Convert to fraction form
    299,338.63/448,769.53 = 172,835.38/x
  3. Step 3: Cross multiply
    299,338.63x = 448,769.53 × 172,835.38
  4. Step 4: Simplify right side
    299,338.63x = 77,563,252,249.97
  5. Step 5: Solve for x
    x = 77,563,252,249.97/299,338.63
  6. Step 6: Final answer
    x = 259,115.41

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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.