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Finding the Fourth Proportional to 299,320.38, 448,979.49 and 77,704.38

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Solution

The fourth proportional to 299,320.38, 448,979.49 and 77,704.38 is: 116,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,320.38 : 448,979.49 = 77,704.38 : x
  2. Step 2: Convert to fraction form
    299,320.38/448,979.49 = 77,704.38/x
  3. Step 3: Cross multiply
    299,320.38x = 448,979.49 × 77,704.38
  4. Step 4: Simplify right side
    299,320.38x = 34,887,672,903.17
  5. Step 5: Solve for x
    x = 34,887,672,903.17/299,320.38
  6. Step 6: Final answer
    x = 116,556.29

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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.