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Finding the Fourth Proportional to 299,343.28, 413,437.39 and 218,033.81

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Solution

The fourth proportional to 299,343.28, 413,437.39 and 218,033.81 is: 301,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,343.28 : 413,437.39 = 218,033.81 : x
  2. Step 2: Convert to fraction form
    299,343.28/413,437.39 = 218,033.81/x
  3. Step 3: Cross multiply
    299,343.28x = 413,437.39 × 218,033.81
  4. Step 4: Simplify right side
    299,343.28x = 90,143,329,338.16
  5. Step 5: Solve for x
    x = 90,143,329,338.16/299,343.28
  6. Step 6: Final answer
    x = 301,136.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.