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Finding the Fourth Proportional to 404,852.92, 606,873 and 138,431.24

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Solution

The fourth proportional to 404,852.92, 606,873 and 138,431.24 is: 207,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,852.92 : 606,873 = 138,431.24 : x
  2. Step 2: Convert to fraction form
    404,852.92/606,873 = 138,431.24/x
  3. Step 3: Cross multiply
    404,852.92x = 606,873 × 138,431.24
  4. Step 4: Simplify right side
    404,852.92x = 84,010,181,912.52
  5. Step 5: Solve for x
    x = 84,010,181,912.52/404,852.92
  6. Step 6: Final answer
    x = 207,507.91

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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.