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Finding the Fourth Proportional to 299,386.62, 412,451.73 and 208,578.33

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Solution

The fourth proportional to 299,386.62, 412,451.73 and 208,578.33 is: 287,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,386.62 : 412,451.73 = 208,578.33 : x
  2. Step 2: Convert to fraction form
    299,386.62/412,451.73 = 208,578.33/x
  3. Step 3: Cross multiply
    299,386.62x = 412,451.73 × 208,578.33
  4. Step 4: Simplify right side
    299,386.62x = 86,028,493,049.01
  5. Step 5: Solve for x
    x = 86,028,493,049.01/299,386.62
  6. Step 6: Final answer
    x = 287,349.16

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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.