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Finding the Fourth Proportional to 512,194.03, 707,398.82 and 398,836.36

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Solution

The fourth proportional to 512,194.03, 707,398.82 and 398,836.36 is: 550,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,194.03 : 707,398.82 = 398,836.36 : x
  2. Step 2: Convert to fraction form
    512,194.03/707,398.82 = 398,836.36/x
  3. Step 3: Cross multiply
    512,194.03x = 707,398.82 × 398,836.36
  4. Step 4: Simplify right side
    512,194.03x = 282,136,366,843.68
  5. Step 5: Solve for x
    x = 282,136,366,843.68/512,194.03
  6. Step 6: Final answer
    x = 550,838.84

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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.