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Finding the Fourth Proportional to 721,098, 995,076.09 and 398,789.28

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Solution

The fourth proportional to 721,098, 995,076.09 and 398,789.28 is: 550,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,098 : 995,076.09 = 398,789.28 : x
  2. Step 2: Convert to fraction form
    721,098/995,076.09 = 398,789.28/x
  3. Step 3: Cross multiply
    721,098x = 995,076.09 × 398,789.28
  4. Step 4: Simplify right side
    721,098x = 396,825,677,476.32
  5. Step 5: Solve for x
    x = 396,825,677,476.32/721,098
  6. Step 6: Final answer
    x = 550,307.56

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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.