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Finding the Fourth Proportional to 728,866.48, 1,005,843.32 and 406,606

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Solution

The fourth proportional to 728,866.48, 1,005,843.32 and 406,606 is: 561,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,866.48 : 1,005,843.32 = 406,606 : x
  2. Step 2: Convert to fraction form
    728,866.48/1,005,843.32 = 406,606/x
  3. Step 3: Cross multiply
    728,866.48x = 1,005,843.32 × 406,606
  4. Step 4: Simplify right side
    728,866.48x = 408,981,928,971.92
  5. Step 5: Solve for x
    x = 408,981,928,971.92/728,866.48
  6. Step 6: Final answer
    x = 561,120.51

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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.