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Finding the Fourth Proportional to 689,198.86, 1,033,662.03 and 655,021.07

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Solution

The fourth proportional to 689,198.86, 1,033,662.03 and 655,021.07 is: 982,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,198.86 : 1,033,662.03 = 655,021.07 : x
  2. Step 2: Convert to fraction form
    689,198.86/1,033,662.03 = 655,021.07/x
  3. Step 3: Cross multiply
    689,198.86x = 1,033,662.03 × 655,021.07
  4. Step 4: Simplify right side
    689,198.86x = 677,070,408,908.97
  5. Step 5: Solve for x
    x = 677,070,408,908.97/689,198.86
  6. Step 6: Final answer
    x = 982,402.10

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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.